Question

A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. If Jean were to double these dimensions, she believes she would only double the volume. Is she correct? Explain why or why not. Include a drawing in your explanation.

Answer 1

Hence doubling the dimension gives a volume greater than doubling the original volume.

Explanation:

Given The dimension :

Original dimension : 6 meters by 5 meters by 12 meters

Volume of original dimension :

6 * 5 * 12 = 360 m³

If dimension is doubled :

2 * 6 = 12

2 * 5 = 10

2 * 12 = 24

Volume = (12 * 10 * 24) = 2880 m³

2 * original volume = 2 * 360 = 720 m³

Hence doubling the dimension gives a volume greater than doubling the original volume.