Question

A box that is shaped like a cube has a volume of 51227 cubic inches. Solve s³ = 51227to find the length sof one side of the box.

a) s = 27
b) s = 34
c) s = 73
d) s = 93

Answer 1

The length of one side of the cube is found by taking the cube root of the volume, which is approximately 37.24 inches, but this is not an option given. The closest provided option is s = 34.

Step-by-step explanation:

To find the length s of one side of a cubical box with a given volume, we use the formula for the volume of a cube, which is V = s³. In this case, the volume V is given as 51227 cubic inches. To solve for s, we take the cube root of the volume:

s = ∛(V) = ∛(51227)

Calculating the cube root of 51227, we find that:

s ≈ 37.24 inches

Since 37.24 is not one of the options provided and it is closer to 34 than any other option, we can infer that there might be a mistake in the calculation or the options provided. However, based on the options given, s = 34 is the closest to the calculated value.

Therefore, the most suitable answer from the options is:

s = 34