Question

What is the volume of the rectangular prism shown

3 1/2in 1 7/8in 2 3/4in

A: 18 3/64in^3
B: 6 21/64 in^3
C: 8 1/8 in^3
D: 21 11/32in^3

Answer 1

A.
`V = 18(3)/(64)` in.³

Explanation:

Given:

Length of rectangular prism = 3½ in.

Width = 1⅞ in.

Height = 2¾ in.

Required:

Volume of the rectangular prism

SOLUTION:

Volume of the rectangular prism = L*W*H

Plug in the values into the formula

V = 3½ × 1⅞ × 2¾

Convert each mixed fraction to improper fraction

`V = (7)/(2) * (15)/(8) * (11)/(4)`

Multiply

`V = (7*15*11)/(2*8*4)`

`V = (1,155)/(64)`

`V = 18(3)/(64)`