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A figure is composed of two cubes. The side lengths of the larger cube are twice the side length of the smaller cube. If the total volume of the cubes is 1,944 m3, what are the side lengths of the two cubes? Enter the smaller dimension first

Respuesta :

Lanuel

The side lengths of the two cubes are 6 meters and 12 meters respectively.

How to calculate the volume of a cube?

Mathematically, the volume of a cube is calculated by using this following formula:

Volume = m³

Where:

m is the side lengths of a cube.

Translating the word problem into an algebraic expression, we have;

m³ + (2m)³ = 1944

m³ + 8m³ = 1944

9m³ = 1944

m³ = 1944/9

m = ∛216

m = 6 meters.

For the bigger cube:

2m = 2 × 6

2m = 12 meters.

Read more on volume of a cube here: brainly.com/question/25248189

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