Question

A bathtub is the shape of a rectangular prism. The dimensions are 5 1/2 ft times 2 1/2 ft times 2 3/4 ft. What is the volume of the bath tub? A. 10 1/2 ft3 B. 13 1/8 ft3 C. 14 7/16 ft3 D. 36 3/32 ft3

Answer 1

`37 (13)/(16) ft^3`

Explanation:

A rectangular prism is also know as a cuboid.

The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.

The volume of a cuboid (rectangular prism) is given as:

V = L * B * H

Hence, the volume of the bath tub is:

V = 5½ * 2½ * 2¾

V = 11/2 * 5/2 * 11/4

V = 605 / 16 =
`37 (13)/(16) ft^3`

The volume of the bath tub is
`37 (13)/(16) ft^3`