Question

The volume of a box is 400^3
​​ . The height is 5 in. What is the area of the base of the box?

Answer 1

To find the area of the base of the box, we first need to calculate the dimensions of the base.

Given that the volume of the box is 400^3 cubic inches and the height is 5 inches, we can calculate the area of the base by dividing the volume by the height.

Let x be the length and width of the base of the box.

Volume = x * x * 5 = 400^3
x^2 * 5 = 400^3
x^2 = 400^3 / 5
x^2 = 32000

Taking the square root of both sides gives:
x = sqrt(32000)
x = 80

Therefore, the area of the base of the box is:
Area = x * x = 80 * 80 = 6400 square inches.