SOL 7.5

1) Identify each situation that applies the application of volume. Select ALL correct choices!

• Determining the amount of oil needed to fill a barrel.

• Determining the amount of wrapping paper needed to wrap a gift.

• Determining the amount of paint needed to cover a prism.

• Determining the amount of water needed to fill a cylindrical-shaped swimming pool.

2) Which situation would NOT require finding surface area?

• Terry is determining the amount of fabric necessary to completely cover a rectangular-shaped toy chest.

• Nora is determining the amount of fabric necessary to completely cover her mattress.

• Bill is determining how much water his fish tank will hold.

• Tom is determining the amount of paint needed to completely paint a room in his house.

6) A cylinder has a radius of 7 inches and a height of 20 inches. Which is closest to the surface area of the cylinder?

• 517 sq. in.

• 769 sq. in.

• 1,187 sq. in.

• 3,077 sq. in.

8) Which is closest to the surface area of the cylinder?

• 1,184 sq. cm.

• 1,321 sq. cm.

• 1,356 sq. cm.

• 1,429 sq. cm.

9) A can of tomato soup has a diameter of 2.5 inches and a height of 4 inches. Which is closest to how much soup it will take to fill the can?

• 15.7 cub. in.

• 19.7 cub. in.

• 31.4 cub. in.

• 78.5 cub. in.

12) A cylindrical-shaped present is wrapped in blue wrapping paper. If the radius is 7.5 inches and the height is 9 inches, which is closest to the minimum amount of wrapping paper needed to completely wrap the present?

• 471.5 sq. in.

• 777.2 sq. in.

• 826.3 sq. in.

• 1,589.6 sq. in.

14) Which is closest to the amount of water it will take Mr. Dean to completely fill his cylindrical-shaped hot tub that has a diameter of 6 feet and a height of 3.5 feet?

• 61.2 cubic feet

• 65.9 cubic feet

• 98.9 cubic feet

• 395.6 cubic feet

15) A rectangular prism has a volume of 198 cubic centimeters. The height of this prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism. The other dimensions stayed the same. What is the volume of this new prism?

• 1,188 cm³

• 594 cm³

• 396 cm³

• 201 cm³

17) What effect does doubling the width, length, OR height of a prism have on its volume?

• The volume of the new prism is half the volume of the original prism.

• The volume of the new prism is double the volume of the original prism.

• The volume of the new prism is triple the volume of the original prism.

• The volume of the new prism is the same as the volume of the original prism.

18) The rectangular prism shown has a surface area of 94 cm² . If the height of the prism is increased to 15 cm and the other dimensions remain the same, the surface area -

• Triples

• Increases by 20 cm²

• Increases by 30 cm²

• Increases by 140 cm²