Question: Problems 17-23 all please. answer key below if needed! the table. Exercises 1-6 refer to rectangular solids with dimensions . w. and h. Comp A
Problems 17-23 all please. answer key below if needed!
the table. Exercises 1-6 refer to rectangular solids with dimensions . w. and h. Comp A 1. 2. 50 30 3 2 15 2 L.A. 60 T.A. 54 360 Exercises 7-12 refer to cubes with edges of length e. Complete the table 7. 8. 9. 10 11. 12. 2x T.A. 150 1000 64 ? 13. Find the lateral area of a right pentagonal prism with height 13 and base edges 3.2, 5.8, 6.9, 4.7, and 9.4. 14. A right triangular prism has lateral area 120 cm . If the base edges are 4 cm, 5 cm, and 6 cm long, find the height of the prism. 15. If the edge of a cube is doubled. the total area is multiplied by ? and the volume is multiplied by .. 16. If the length, width, and heigl of a rectangular solid are all tripled, the lateral area is multiplied by _, the total area is multiplied by , and the volume is multiplied by _ Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area, and volume. 17. Equilateral triangle with side 8; h = 10 18. Triangle with sides 9, 12, 15; h = 10 B 19. Isosceles triangle with sides 13, 13, 10; h = 7 20. Isosceles trapezoid with bases 10 and 4 and legs 5; h = 20 21. Rhombus with diagonals 6 and 8; h = 9 22. Regular hexagon with side 8; h = 12.4. The container shown has the shape of a rectangular Areas and Volumes of Solids / 479 solid. When a rock is submerged, the water level rises 0.5 cm. Find the volume of the rock. . A driveway 30 m long and 5 m wide is to be paved with 20 cm blacktop 3 cm thick. How much will the blacktop cost if it is sold at the price of $175 per cubic meter? 43 cm .3. A brick with dimensions 20 cm, 10 cm, and 3 cm weighs 1.2 kg. A second brick of the same material has dimensions 25 cm. 15 em, and 4 cm. What is its weight? A drinking trough for horses is a right trapezoidal prism with dimensions shown below. If it is filled with water, about how much will the water weigh? (Hint: 1 m' of water weighs 1 metric ton.) 12 cm 12 em Ex. 17 Ex. 26 20 cm 100 em 2 m 50 cm 50 cm 20 cm 40 cm 40 cm 27. Find the weight, to the nearest kilogram, of the cement block shown. Cement weighs 1700 kg/m'. 28. Find the weight, to the nearest 10 kg, of the steel I-beam shown below. Steel weighs 7860 kg/m'. 12.5 cm 5 cm_ 10 m 20 cm 5 cm 30 cm Find the volume and the total surface area of each solid in terms of the given variables. 30. 29 4.X 2x 5.x 4x 3y Ax 4.x13) 390 14) 8 cm 15) 4.8 16) 9.9.27 17) LA = 240 TA = 240 + 32v3 V = 160v3 18) LA = 360 TA = 468 V = 540 19) LA - 252 TA = 372 V = 420 20) LA = 480 TA = 536 V = 560 21) LA = 180 TA = 228 V = 216 22) LA = 576 TA = 576 + 192v3 V = 1152v3 23) 675 cm2
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