The sides of a rectangular prism are in the ration 4 : 5 : 6. If the volume of the prism is 960 cm3, what is the length of its longest side?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12 cm.
Let sides are 4k, 5k, and 6k
Volume = 4k × 5k × 6k = 120k3
120k3 = 960
⇒ k3 = 960/120 = 8
⇒ k = 2
Longest side = 6k = 6 × 2 = 12 cm