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

Answer:

$\frac{105}{16} ft^3$

Step-by-step 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 $1\frac{1}{2} ft$ by $1 \frac{3}{4} ft$ by $2 \frac{1}{2} ft$

Therefore, the volume of the suitcase is:

$V = 1\frac{1}{2} * 1 \frac{3}{4} * 2 \frac{1}{2} \\\\V = \frac{3}{2} *\frac{7}{4} *\frac{5}{2} \\\\V = \frac{105}{16} ft^3$

The volume of the suitcase is $\frac{105}{16} ft^3$