10.
a. Writing How does the volume of the larger cube compare to the volume of the smaller cube?
A. The volume of the larger cube is 27 times the volume of the smaller cube.
B. The volume of the larger cube is 9 times the volume of the smaller cube.
C. The volume of the larger cube is 3 times the volume of the smaller cube.
D. The volume of the larger cube is 12 times the volume of the smaller cube.
b. Use this and other examples to describe what happens to the volume of a cube if you triple the length of the edges.
11. Think About the Process The triangular prism has bases that are equilateral triangles. Each base has perimeter 63 cm. To find the volume of the prism, you need the area of a base.
a. How can you find the area of a base?
A. Find half of the perimeter and multiply by the height of the triangle.
B. Multiply the perimeter of the base times the height of the triangle.
C. Divide the perimeter by 3 and multiply by the height of the triangle.
D. Divide the perimeter by 3 and multiply by one-half the height of the triangle.
b. What is the volume of the prism to the nearest cubic centimeter?
12. Think About the Process At a store, a 2.8 ft by 3 ft by 3.4 ft rectangular container costs $4.00. A 3 ft by 4 ft by 3.5 ft container costs $5.04.
a. How would you find which container is the better buy?
A. The container with the lower cost is always a better buy.
B. Divide the volume of each container by its cost to find the price per cubic foot.
C. The container with the greater volume is always a better buy.
D. Divide the cost of each container by its volume to find the price per cubic foot.
b. The container is the better buy.
13. Reasoning Freezer A has interior dimensions 1 ft × 1 ft × 5 ft and sells for $499.99. Freezer B has interior dimensions of 1.5 ft × 1.5 ft × 4 ft and sells for $849.99. Which freezer is a better buy in terms of dollars per cubic foot? Show your work and explain your reasoning.
14.
a. Challenge Find the volume of the figure shown.
b. Show three different ways to find the volume.