Question

The volume of the cube below is 250.047 cm^3. The side lengths could be between which sets of numbers below

A. 4cm and 5cm
B. 5cm and 6 cm
C. 6cm and 7 cm
D. 7cm and 8cm

Answer 1

C. 6cm and 7 cm

Explanation:

The volume of a cube is calculated by finding the third power of a side length which is basically multiplying the value by itself three times (a^3 = a*a*a)

Let a represent the side length

a^3 = 250.047 cm^3 (approximately 250) we can try each option one by one to find the nearest result:

A)

the third power of 4 is 64 and the third power of 5 is 125 so this is not the answer we are looking for

B)

The third power of 5 is 125 and the third power of 6 is 216 so this is also not the answer we are looking for

C)

the third power of 6 is = 216 and the third power of 7 is 343

now 250 is between these values so this is the answer we are lookign for