Question

What is the volume, in cubic feet, of a rectangular prism with a height of 2 1/2 ft., a length of 2 1/4 ft., and a width of 3 1/8 ft.? Your answer should be a mixed number in simplest form.

To find the volume of a rectangular prism, we use the formula V = lwh, where l is the length, w is the width, and h is the height.

Given:
Length = 2 1/4 ft = 2.25 ft
Width = 3 1/8 ft = 3.125 ft
Height = 2 1/2 ft = 2.5 ft

V = (2.25)(3.125)(2.5)
V = 17.578125 ft^3

Therefore, the volume of the rectangular prism is 17 9/32 cubic feet in simplest form.

What is the volume, in cubic feet, of a rectangular prism with a length of 2 ft., a width of 4 1/6 ft., and a height of 8 1/2 ft.? Your answer should be a mixed number in simplest form.

To find the volume of the rectangular prism, we use the formula V = lwh, where l is the length, w is the width, and h is the height.

Given:
Length = 2 ft
Width = 4 1/6 ft = 4.1667 ft
Height = 8 1/2 ft = 8.5 ft

V = (2)(4.1667)(8.5)
V = 71.0833 ft^3

Therefore, the volume of the rectangular prism is 71 5/12 cubic feet in simplest form.

When you apply the volume formula, what is the volume of a moving box in the shape of a rectangular prism with a length of 2 1/4 ft., a width of 1 1/2 ft., and a height of 3/4 ft.? The answer will be a mixed fraction in cubic feet.

To find the volume of the rectangular prism, we use the formula V = lwh, where l is the length, w is the width, and h is the height.

Given:
Length = 2 1/4 ft = 2.25 ft
Width = 1 1/2 ft = 1.5 ft
Height = 3/4 ft = 0.75 ft

V = (2.25)(1.5)(0.75)
V = 3.1875 ft^3

Therefore, the volume of the rectangular prism is 3 3/16 cubic feet.