Question

A suit case is a rectangular prism whose dimensions are 1 and 1/2 feet by 1 and 3/4 feet by 2 and 1/2 feet. Fond the volume of the suitcase. Enter the answer as a mixed number in simplest form.

Answer 1

`(105)/(16) ft^3`

Explanation:

The suitcase is in the shape of a rectangular prism and we need to find the volume.

The volume of a rectangular prism is given as:

V = L * B * H

where L = length

B = breadth

H = height

The dimensions of the suitcase are
`1(1)/(2) ft` by
`1 (3)/(4) ft` by
`2 (1)/(2) ft`

Therefore, the volume of the suitcase is:

`V = 1(1)/(2) * 1 (3)/(4) * 2 (1)/(2) \\\\V = (3)/(2) *(7)/(4) *(5)/(2) \\\\V = (105)/(16) ft^3`

The volume of the suitcase is
`(105)/(16) ft^3`