Question

The volume of a box containing 15 identical cubes is 295245cu.m. Find the edge of the cube.

Answer 1

Answer:

Edge length of the cube = 27 m

Dimensions of the box is length = 135 m, width = 81 m, height = 27 m

Step-by-step explanation:

The box contains 15 identical cubes therefore, we have

Edge length of cube = Side, s, of cube

15 × s³ = 295245 m³

∴ s³ = 295245/15 = 19683 m³

s = ∛19683 = 27 m

Hence the edge length of the cube = 27 m

The dimension of the box is length =  5 × 27 = 135 m

Width = 3 × 27 = 81 m

height = 27 m.