Question

Elizabeth and Lillian have cube shaped bins to store their items on shelves. The volume of each storage cube is 415 cubic inches. The length of each side of the cube must be between 7 and 8 inches. Elizabeth thinks the length of the side of the cube is closer to 7 inches and Lillian thinks the length of the side of the cube is closer to 8 inches. Who is correct?

Answer 1

To determine which person is correct, we need to calculate the actual length of each side of the cube.

Let's first find the volume of the cube using the given volume of 415 cubic inches. The formula for the volume of a cube is V = s^3, where s is the length of each side.

415 = s^3

To solve for s, we take the cube root of both sides:

s = ∛(415)

Using a calculator, we find that s ≈ 7.91 inches.

Elizabeth estimated the length to be closer to 7 inches, while Lillian estimated it to be closer to 8 inches. Since 7.91 is closer to 8 than 7, Lillian is correct.