Question

A small cube has the volume shown. Its side length is 1.5 in less than a second larger cube. What is

Answer 1

The volume of the larger cube is 227 inches cube.

Volume of a cube is describe below:

• v = L³

where

L = length

The small cube has the following volume:

• v = 95 in³

Let

The side length of the small cube = x

Therefore,

95 = x³

x = ∛95

x = 4.56290264

x ≈ 4.6

Its side length is 1.5 inches less than a second larger cube. Therefore,

• length of larger length cube = (x + 1.5 )inches = 4.6 + 1.5 = 6.1 inches

Therefore, the volume of the larger cube can be found as follows:

Volume = 6.1³

volume = 226.981

volume ≈ 227 inches³

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