Question

A planter in the shape of a cube has a volume of 1,000 inches to the 3 power. Is the area of the base of the cube greater than or less than 1 square foot?

Answer 1

When the solid is a cube,its volume is equal to its side raised to the power of 3. The equation is written below:

V = s³

Since 1,000 is raised to the power of 3, then it means that the side length is equal to 1,000 inches. The base of the cube is also a square. Thus, its area is s². Note that there are 12 inches in 1 ft.

A = (1000 in * 1ft/12 in)² = 6,944.44 ft²

Thus, the area of the base is greater than 1 square foot.