Question

Each side of a cube shaped box measures 8 feet. To find the volume multiply the length times the width times the hight. Exspress the amount of space inside as a power and then find the amount in cubic feet

Answer 1

Volume in power form:
`(8\text{ feet})^(3)`.

Value of volume: 512 cubic feet.

Explanation:

Since we know that each side of cube is of equal length and we can find volume of cube of equal sides as a^3.

1. We can find volume of cube either by multiplying length*width*height as
`8\text{ feet}\cdot  8\text{ feet}\cdot 8\text{ feet}= 512\text{ cubic feet}`

2. We can express amount of space inside cube as a power as
`(8\text{ feet})^(3)`.

Now let us solve this expression,

`(8\text{ feet})^(3) =512\text{ feet}^(3)`

Therefore, we can see that volume of our cube is 512 cubic feet.