Question

What is the volume of a rectangular prism with a length of 81\2 centimeters, width of 9 1\3 centimeters, and a height of 12 2\5 centimeters?

Answer 1

Hello!

We must use a certain formula to find the volume of a rectangular prism. The formula is:

V = l × w × h

Let's multiply the 3 dimensions together. Before we can do that, though, we must convert the mixed fractions to improper fractions.

8 1/2 = (8 × 2) + 1 / 2 = 17/2

9 1/3 = (9 × 3) + 1 / 3 = 28/3

12 2/5 = (12 × 5) + 2 / 5 = 62/5

17/2 × 28/3 = 476/6 (which can be simplified to 238/3)

238/3 × 62/5 = 14756/15

Final Answer:

The volume of the rectangular prism is 983 11/15 centimetres cubed, and 983.733 centimetres cubed (Repeating decimal) as a decimal.