Question

A family is moving. After the family was done using all of their moving boxes, they built one huge box. The volume was 27,000 cubic feet. What is the length of one side of this giant box?

A) 30 feet
B) 45 feet
C) 54 feet
D) 60 feet

Answer 1

To find the length of one side of the cube with a volume of 27,000 cubic feet, we take the cube root of the volume. The cube root of 27,000 is 30, so each side of the cube is 30 feet long.

Step-by-step explanation:

The question requires us to find the length of one side of a cube with a given volume. We know that the volume of a cube is calculated by raising the length of one side to the third power (V = s³). To find the length of the side, we take the cube root of the volume. In this case, the volume is 27,000 cubic feet.

To find the side length (s), we calculate the cube root of 27,000:
s = ∛(27,000). The cube root of 27,000 is 30, because 30³ = 27,000.

Therefore, the length of one side of the giant box is 30 feet, which corresponds to answer choice A).