Pg 29 Solid Mensuration

1. Problem solving. Show all necessary solutions. 1. The volume of a cube is reduced by how much if all sides are halved? a. 1/8 b. 5/8 C. 6/8 d. 7/8 2. A reservoir is shaped like a square prism. If the area of its base is 225 sq. cm, how many liters of water will it hold? a. 3.375 b. 33.75 C. 337.5 d. 3375 3. The base edge of a regular pentagonal prism is 6 cm and its bases are 12 cm apart. Find its volume in cu. cm. a. 743.22 cm3 b. 786.89 cm3 c. 567.45 cm3 d. 842.12 cm3 4. The base of a right prism is a hexagon with one side 6 cm long. If the volume of the prism is 450 cm3, how far apart are the bases? a. 5.74 cm b. 3.56 cm c. 4.11 cm d. 4.81cm 5. A trough has an open top 0.30 m by 6 m and closed vertical ends which are equilateral triangles 30 cm on each side. It is filled with water to half its depth. Find the volume of the water in cubic meters. a. 0.058 b. 0.046 C. 0.037 d. 0.065 6. A frustum of a pyramid has an upper base 100 m by 10 m and a lower base of 80m by 8 m. if the altitude of the frustum is 5 m, find its volume. a. 4567.67 cu. m. b. 3873.33 cu. m. c. 4066.67 cu. m. d. 2345.98 cu. m. 7. The altitude of the frustum of a regular rectangular pyramid is 5m the volume is 140 cu. m. and the upper base is 3m by 4m. What are the dimensions of the lower base in m? a. 9 x 10 b. 6 x 8 c. 4.5 x 6 d. 7.50 x 10 8. The frustum of a regular triangular pyramid has equilateral triangles for its bases. The lower and upper base edges are 9m and 3m, respectively. If the volume is 1 18.2 cu. m.., how far apart are the base? b. 8m c. 7m d. 10m a. 9m 9. A cylindrical gasoline tank. lying horizontally, 0.90 m. in diameter and 3 m long is filled to a depth of 0.60 m. How many gallons of gasoline does it contain? Hint: One cubic meter 265 gallons c. 300 d. 270 a. 250 b. 360 29