The Volume of the 3D Figures

Dominique is conducting a science project. To complete the project, Dominique needs two cylinders full of liquid. Each cylinder has a radius of 4 inches and a height of 10 inches.

What is the total amount of liquid Dominique needs to complete his project?

• 160 cubic inches of liquid

• 251.2 cubic inches of liquid

• 502.4 cubic inches of liquid

• 1,004.8 cubic inches of liquid

Doug has a storage container in the shape of a rectangular prism that has a volume of 360 cubic feet. The container’s base measures 8 feet long and 9 feet wide.

What is the height of the storage container, in feet?

• 4 feet

• 5 feet

• 6 feet

• 7 feet

A carpenter builds a tree house in the shape of a rectangular prism. The tree house has a base that measures 8 feet long and 6 feet wide, and its volume is 312 cubic feet.

What is the height of the tree house?

• 6.5 feet

• 9.5 feet

• 12 feet

• 14 feet

The smaller cube has a volume of 125 cubic inches. If the larger cube has a side measurement 4 times that of the smaller cube, what is the volume of the larger cube?

• 13,824 in³

• 8,000 in³

• 4,096 in³

• 1,728 in³

Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown. If Mrs. Smith needs a toy chest that has at least 35 ft³ of storage space, which chest should she purchase?

• Either toy chest will provide the necessary storage space.

• Neither toy chest will provide the necessary storage space.

• Only toy chest A will provide the necessary storage space.

• Only toy chest B will provide the necessary storage space.

What is the volume of the triangular right prism?

• 140 ft³

• 280 ft³

• 1,022 ft³

• 2,044 ft³

What is the volume of the triangular prism?

• 205 cm3

• 246 cm³

• 250 cm³

• 600 cm³

What is the volume of the composite figure?

• 104 ft³

• 120 ft³

• 150 ft³

• 160 ft³

A square prism has a volume of 500 cubic centimeters. If the height of the prism is 4 times the length of the base, how long is each side of the base?

• 4 cm

• 5 cm

• 6 cm

• D7 cm

Lynoll has a trunk with dimensions of 2 feet by 2 feet by 4 feet, as shown in the figure. He wants to store cube-shaped boxes with side lengths equal to 6 inches. How many boxes can Lynoll fit inside the trunk?

• 32 boxes

• 64 boxes

• 128 boxes

• 256 boxes