Question

The area of the base of the box is 49 square inches. what is the height of the box?

Answer 1

We are given the following box

since the box is cubic, the height is the same as the length of the side length of its base.

The base would be a square of the following shape

where a is the length we are looking for. We are told that the area of the base is 49. Since the base has a side length of a, then we have the following equation

`a^2=49`

By taking the square root on both sides, we get

`a=\sqrt[]{49}=\pm7`

since a is a length, it should be positive. So, we have that

`a=7`

then, the height of the box is 7 inches.