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mathematics
holt mcdougal larson geometry
Holt McDougal Larson Geometry 1st Edition Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff - Solutions
Find the lateral area and surface area of the regular pyramid. Round your answers to two decimal places. 5 in. 8 in.
Find the lateral area and surface area of the right prism. Round your answers to two decimal places. 2 in. 3.5 in.
Describe and correct the error in finding the surface area of the regular pyramid. S = B + 1/ Pl = 6² + (24)(4) = 84 ft² 4 ft 6 ft 5 ft x
Find the lateral area and surface area of the right prism. Round your answers to two decimal places. 3 m 8 m 9.1 m
Find the lateral area and surface area of the right cylinder using the given radius r and height h. Round your answers to two decimal places. r = 0.8 in. h = 2 in.
Find the lateral area of the right cone. Round your answer to two decimal places. r = 7.5 cm h = 25 cm
Find the lateral area and surface area of the right cylinder using the given radius r and height h. Round your answers to two decimal places. r = 12 mm h = 40 mm
Find the lateral area of the right cone. Round your answer to two decimal places. r = 1 in. h = 4 in.
Find the lateral area and surface area of the right cylinder using the given radius r and height h. Round your answers to two decimal places. r = 8 in. h = 8 in.
Solve for x given the surface area S of the right prism or right cylinder. Round your answer to two decimal places. S = 606 yd² 7 yd X 15 yd
Find the lateral area of the right cone. Round your answer to two decimal places. d = 7 in. h = 1 ft
Find the surface area of the right cone. Round your answer to two decimal places. 15 in. .4 in.
Solve for x given the surface area S of the right prism or right cylinder. Round your answer to two decimal places. S = 1097 m² X 8.2 m
Describe and correct the error in finding the surface area of the right cone. S = π(²) + πr²l = TT (36) + (36) (10) = 396π cm² 10 cm 8 cm 6 cm x
Find the surface area of the right cone. Round your answer to two decimal places. 20 cm 26 cm
The surface area of the right cone is 200π square feet. What is the slant height of the cone? 16 ft
Find the surface area of the right cone. Round your answer to two decimal places. -5 ft -8 ft
The length of each side of a cube is multiplied by 3. What is the change in the surface area of the cube? A The surface area is 3 times the original surface area. B The surface area is 6 times the original surface area. C The surface area is 9 times the original surface area. D The surface area is
A triangular prism with a right triangular base has leg length 9 units and hypotenuse length 15 units. The height of the prism is 8 units. Sketch the prism and find its surface area.
Find the surface area of the solid. The pyramids are regular and the cones are right. Round your answers to two decimal places, if necessary. -4 cm 12 cm 5 cm
Determine whether the solid puzzle is convex or concave.
Find the surface area of the solid. The pyramids are regular and the cones are right. Round your answers to two decimal places, if necessary. .3 in. 5 in. 5 in.
The radius and height of a right cylinder are each divided by √5. What is the change in surface area of the cylinder?
A bass drum has a diameter of 20 inches and a depth of 8 inches. Find the surface area of the drum.
In Exercises 18-21, sketch the described solid and find its surface area. Round your answer to two decimal places.A right cone has a radius of 15 feet and a slant height of 20 feet.
Determine whether the solid puzzle is convex or concave.
In Exercises 18-21, sketch the described solid and find its surface area. Round your answer to two decimal places.A right cone has a diameter of 16 meters and a height of 30 meters.
Determine whether the solid puzzle is convex or concave.
Find the surface area of the solid. The pyramids are regular and the cones are right. Round your answers to two decimal places, if necessary. 3 yd 4 yd .8 yd
An open gift box is shown at the right. When the gift box is closed, it has a length of 12 inches, a width of 6 inches, and a height of 6 inches.a. What is the minimum amount of wrapping paper needed to cover the closed gift box? b. Why is the area of the net of the box larger than the amount of
Draw and describe the cross section formed by the intersection of the plane and the solid.
Which three-dimensional figure does the net represent?
Find the height of a cylinder with a surface area of 108π square meters. The radius of the cylinder is twice the height.
In Exercises 18-21, sketch the described solid and find its surface area. Round your answer to two decimal places.A regular pyramid has a slant height of 24 inches. Its base is an equilateral triangle with a base edge length of 10 inches.
What is the shape of the cross section formed by the plane parallel to the base that intersects the red line drawn on the square pyramid? L. 1
Explain why a cube is also called a regular hexahedron.
The diagonal of a cube is a segment whose endpoints are vertices that are not on the same face. Find the surface area of a cube with diagonal length 8 units.
In Exercises 18-21, sketch the described solid and find its surface area. Round your answer to two decimal places.A regular pyramid has a hexagonal base with a base edge length of 6 centimeters and a slant height of 9 centimeters.
Draw and describe the cross section formed by the intersection of the plane and the solid.
Consider a cube that is built using 27 unit cubes as shown at the right.a. Find the surface area of the solid formed when the red unit cubes are removed from the solid shown. b. Find the surface area of the solid formed when the blue unit cubes are removed from the solid shown. c. Why are your
Draw and describe the cross section formed by the intersection of the plane and the solid.
A glass lampshade is shaped like a regular square pyramid.a. Approximate the lateral area of the lampshade shown. b. Explain why your answer to part (a) is not the exact lateral area. 14 in.- -8 in.
Name the figure that is represented by the net. Then find its surface area. Round your answer to two decimal places. 6 cm
A cuboctahedron has 6 square faces and 8 equilateral triangle faces, as shown. A cuboctahedron can be made by slicing off the corners of a cube.a. Sketch a net for the cuboctahedron. b. Each edge of a cuboctahedron has a length of 5 millimeters. Find its surface area.
A right cylinder has a radius of 4 feet and height of 10 feet.a. Find the surface area of the cylinder. b. Suppose you can either double the radius or double the height. Which do you think will create a greater surface area? c. Check your answer in part (b) by calculating the new surface
Name the figure that is represented by the net. Then find its surface area. Round your answer to two decimal places. -3 in. 120° 9 in.
Which two solids have the same number of faces? A A triangular prism and a rectangular prism B A triangular pyramid and a rectangular prism CA triangular prism and a square pyramid D A triangular pyramid and a square pyramid
Find the surface area of a regular tetrahedron with edge length 4 centimeters.
A company makes two types of recycling bins. One type is a right rectangular prism with length 14 inches, width 12 inches, and height 36 inches. The other type is a right cylinder with radius 6 inches and height 36 inches. Both types of bins are missing a base, so the bins have one open end. Which
A right cone with a base of radius 4 inches and a regular pyramid with a square base both have a slant height of 5 inches. Both solids have the same surface area. Find the length of a base edge of the pyramid. Round your answer to the nearest hundredth of an inch.
A candle is in the shape of a regular square pyramid with base edge length 6 inches. Its height is 4 inches. Find its surface area.
Describe and correct the error in determining that a tetrahedron has 4 faces, 4 edges, and 6 vertices.
A cube with edges 1 foot long has a cylindrical hole with diameter 4 inches drilled through one of its faces. The hole is drilled perpendicular to the face and goes completely through to the other side. Draw the figure and find its surface area.
Find the perimeter and area of the regular polygon. Round your answers to two decimal places. 24
Find the perimeter and area of the regular polygon. Round your answers to two decimal places. 17
Use the given radius r or diameter d to find the circumference and area of the circle. Round your answers to two decimal places. d = 15 ft
Use the given radius r or diameter d to find the circumference and area of the circle. Round your answers to two decimal places. d = 28 in.
Use the given radius r or diameter d to find the circumference and area of the circle. Round your answers to two decimal places. r = 11 cm
Use the diagram of the square pyramid intersected by a plane.a. Describe the shape of the cross section shown. b. Can a plane intersect the pyramid at a point? If so, sketch the intersection. c. Describe the shape of the cross section when the pyramid is sliced by a plane parallel to its
The figure at the right shows a plane intersecting a cube through four of its vertices. An edge length of the cube is 6 inches.a. Describe the shape formed by the cross section. b. What is the perimeter of the cross section? c. What is the area of the cross section?
In Exercises 37-39, find the area of the polygon. 2√2 yd √2 yd
Describe the shape that is formed by the cut made in the food shown. Bread
In Exercises 37-39, find the area of the polygon. 8 mm 9 mm 10 mm
Explain how the numbers of faces, vertices, and edges of a regular tetrahedron change when you cut off each feature.a. A corner b. An edge c. A face d. 2 edges
Find the area of the regular polygon. U T Q W 9 S R
Explain how the numbers of faces, vertices, and edges of a cube change when you cut off each feature.a. A corner b. An edge c. A face d. 3 corners
Describe the shape that is formed by the cut made in the food shown. Cheese
Is it possible for a cross section of a cube to have the given shape? If yes, describe or sketch how the plane intersects the cube.Scalene triangle.
Is it possible for a cross section of a cube to have the given shape? If yes, describe or sketch how the plane intersects the cube.Regular hexagon.
Is it possible for a cross section of a cube to have the given shape? If yes, describe or sketch how the plane intersects the cube.Isosceles triangle.
Is it possible for a cross section of a cube to have the given shape? If yes, describe or sketch how the plane intersects the cube.Rhombus.
Is it possible for a cross section of a cube to have the given shape? If yes, describe or sketch how the plane intersects the cube.Pentagon.
In Exercises 37-39, find the area of the polygon. 7 mi
Find the area of the regular polygon. A D E F 6 B C
Is it possible for a cross section of a cube to have the given shape? If yes, describe or sketch how the plane intersects the cube.Circle.
Describe the shape that is formed by the cut made in the food shown. Watermelon
Find the area of the regular polygon. J K P H L N 12 M
Name a polyhedron that has 4 vertices and 6 edges. Can you draw a polyhedron that has 4 vertices, 6 edges, and a different number of faces? Explain your reasoning.
An Elizabethan collar is used to prevent an animal from irritating a wound. The angle between the opening with a 16 inch diameter and the side of the collar is 53°. Find the surface area of the collar shown. 16 in. 6 in. 53°
Describe how a plane can intersect a cube to form a hexagonal cross section. Ex. 32
The sector shown can be rolled to form the lateral surface of a right cone. The lateral surface area of the cone is 20 square meters.a. Write the formula for the area of a sector. b. Use the formula in part (a) to find the slant height of the cone. Explain your reasoning. c. Find the radius and
How many faces, vertices, and edges does an octagonal prism have? A 8 faces, 6 vertices, and 12 edges 8 faces, 12 vertices, and 18 edges C10 faces, 12 vertices, and 20 edges D 10 faces, 16 vertices, and 24 edges (B)
In Exercises 1-6, find the area of the shaded polygon. +-41 cm- T 67 cm
In Exercises 1-6, find the area of the shaded polygon. 5 ft 13 ft
Find the indicated measure for the circle shown. Length of AB A P 17 cm B 108⁰
In Exercises 1-6, find the area of the shaded polygon. 18 cm 10 cm 9 cm
In Exercises 1-6, find the area of the shaded polygon. 4.7 cm 7 cm 5 cm
Find the indicated measure for the circle shown. Area of shaded sector Q T S 105° 8 in. R
Find the indicated measure for the circle shown. Area of ON N LA = 49 m² 68° M
Find the indicated measure for the circle shown. mGH Ja 27 ft G H 35 ft
In Exercises 1-6, find the area of the shaded polygon. 15 m 9m 8m
In Exercises 1-6, find the area of the shaded polygon. -40 in.- 32 in.
Find the indicated measure for the circle shown. Circumference of OF 64 in. E 210° F H D
Find the probability that a randomly chosen point in the figure lies in the region described.In the red region XD₂ 10 |10||
Find the indicated measure for the circle shown. Radius of OP R P114⁰ S A = 36 cm²
Quadrilaterals ABCD and EFGH are similar. The perimeter of ABCD is 40 inches and the perimeter of EFGH is 16 inches.Find the ratio of the perimeters of ABCD to EFGH.
Quadrilaterals ABCD and EFGH are similar. The perimeter of ABCD is 40 inches and the perimeter of EFGH is 16 inches.Find the ratio of the corresponding side lengths of ABCD to EFGH.
The base of a parallelogram is 3 times its height. The area of the parallelogram is 108 square inches. Find the base and the height.
Quadrilaterals ABCD and EFGH are similar. The perimeter of ABCD is 40 inches and the perimeter of EFGH is 16 inches.Find the ratio of the areas of ABCD to EFGH.
A floor tile is in the shape of a regular hexagon and has a perimeter of 18 inches. Find the side length, apothem, and area of the tile.
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