Question

What is the side length of a cube with a volume of 275 yd^3?

A) 5 yd
B) 6 yd
C) 7 yd
D) 8 yd

Answer 1

To find the side length of a cube with a volume of 275 yd³, we take the cube root of 275. The result is between 6 and 7, so the closest whole number for the side length is 6 yd, which is option B.

Step-by-step explanation:

The side length of a cube with a volume of 275 yd3 can be calculated using the formula for the volume of a cube, which is V = s3, where V is the volume and s is the side length. To find the side length, we take the cube root of the volume:

s = ∛V

s = ∛275

The exact cube root of 275 does not yield a whole number. However, we know that:

• ∛216 = 6
• ∛343 = 7

Since 275 is between 216 and 343, the cube root of 275 must be between 6 and 7. Therefore, the closest whole number for the side length is 6 yd, which corresponds to option B.