The volumes of two cubes are in the ratio of 8 : 27. If the volume of the larger cube is 513 cm3 more than that of the smaller cube, find the length of each side of the smaller cube.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6 cm.
Let volumes be 8x (smaller) and 27x (larger)
27x - 8x = 19x = 513
⇒ x = 513 /19 = 27
Smaller cube volume = 8x = 8 × 27 = 216 cm3
Side length = ∛216 = 6 cm