Question

Find the volume. 12 1/8 in 1 1/4 in 4 in​

Answer 1

• 485/8 in³

Explanation:

Given dimensions:

• 12 1/8 in.
• 1 1/4 in.
• 4 in.

We know that the formula of the volume of a rectangular prism is length × width × height. Now, let's find the volume of the rectangular prism.

• => 12 1/8 x 1 1/4 x 4
• => [{(12 x 8) + 1}/8] x [{(4 x 1) + 1}/4] x 4
• => [{(96) + 1}/8] x [{(4) + 1}/4] x 4
• => [{96 + 1}/8] x [{4 + 1}/4] x 4
• => [{97}/8] x [{5}/4] x 4
• => [97/8] x [5/4] x 4
• => 97/8 x 5/4 x 4
• => 97/8 x 5
• => 97/8 x 5
• => 485/8 in³

Hence, the volume of the rectangular prism is 485/8 in³.

Answer 2

• 60 5/8 in³

Explanation:

We have three dimensions and are asked to find the volume.

It is assumed that the dimensions are of the rectangular prism:

• V = lwh
• V = 12 1/8 * 1 1/4 * 4 = 97/8 * 5/4 *4 = 485/8 = 60 5/8 in³