Question

You are building a cube shaped box for your turtle to live in. You want to build your box with side lengths of 24 inches. However, when you finish the box, you find out that it has a volume of 27,000 cubic inches. How many more cubic inches is your box than you had planned? How much bigger are your side lengths than you had originally planned?

Answer 1

Answer: The box is 13,176 cubic inches larger than originally planned.

The side lengths turned out to be 6 inches longer than the 24 inches originally planned.

Step-by-step explanation:

To find the intended volume, "cube" 24 (24×24×24)

`24^(3)= 13824`

To find the difference, subtract 13,824 from 27,000

27000 - 13824 = 13176

To find the actual side lengths of the box that was built take the cube root of 27000.

`\sqrt[3]{27000}=30`

To find out how much longer, subtract 24 from 30.

30 - 24 = 6