DAY 1: Volume of Rectangular Prisms

• 9 cubic meters

• 5 cubic meters

• 6 cubic meters

• 8 cubic meters

Answer explanation

To find the volume of the rectangular prism, multiply length x width x height: 3 x 1.5 x 2 = 9 cubic meters. Therefore, the correct answer is 9 cubic meters.

If the volume of a rectangular prism is 24 cubic inches and the length and width are 3 inches and 4 inches respectively, what is the height of the prism?

• 1 inch

• 2 inches

• 3 inches

• 4 inches

Answer explanation

To find the height of the rectangular prism, divide the volume by the product of the length and width. Therefore, 24 / (3*4) = 2 inches.

Answer explanation

The correct equations to find the volume of a right rectangular prism are V=Bh and V = lwh.

A tissue box is shaped like a rectangular prism and holds 30 cubic inches of water. If the box is 1 inches wide and 6 inches tall, how long is the box?

• 5 feet

• 8 feet

• 2 feet

• 3 feet

Answer explanation

To find the length of the box, divide the volume (30 cubic inches) by the product of width (2 inches) and height (6 inches). Therefore, the length is 5 feet.

A rectangular prism has dimensions of 2.5 meters by 1.5 meters by 1 meter. What is its volume in cubic meters?

• 3.75 cubic meters

• 4 cubic meters

• 5 cubic meters

• 6 cubic meters

Answer explanation

To find the volume of a rectangular prism, multiply the length, width, and height. Therefore, the volume is 2.5 * 1.5 * 1 = 3.75 cubic meters, which matches the correct answer choice.

A cargo box is 8 feet long, 4 feet wide, and 2 feet high. How many cubic feet of space does it contain?

• 32 cubic feet

• 48 cubic feet

• 64 cubic feet

• 96 cubic feet

Answer explanation

To find the cubic feet of the cargo box, multiply the length, width, and height: 8ft x 4ft x 2ft = 64 cubic feet. Therefore, the cargo box contains 64 cubic feet of space.

A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 2 cm. What is the volume of the prism?

• 40 cubic cm

• 60 cubic cm

• 80 cubic cm

• 100 cubic cm

Answer explanation

To find the volume of a rectangular prism, multiply the length, width, and height together: 8 cm * 5 cm * 2 cm = 80 cubic cm. Therefore, the correct answer is 80 cubic cm.

Find the volume of the figure.

• 410 cubic cm.

• 24 cubic cm.

• 420 cubic cm.

• 48 cubic cm.

Answer explanation

To find the volume of the figure, calculate the volume of the rectangular prism: 7 x 6 x 10 = 420 cubic cm. Therefore, the correct answer is 420 cubic cm.

Which two formulas can be used to find the volume of a rectangular prism?

• V= l x w x h

• V= B x w

• V = B x h

• V= l + w + h

Answer explanation

The correct formulas for finding the volume of a rectangular prism are V= l x w x h and V = B x h.

Each side of this ice cube measures 2 inches.  What is the volume of the ice cube?

• 6 cubic inches

• 8 cubic inches

• 12 cubic inches

• 8 square inches

Answer explanation

To find the volume of a cube, you multiply the length, width, and height. Since each side measures 2 inches, the volume is 2*2*2 = 8 cubic inches.