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A cube has a volume of 3375 mm³. What is its side length x?

May 1, 2026Mathematics

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Answer

\text{15 mm}

4 steps

Identify the given information and the unknown.
The problem states that the diagram shows a cube with a volume of $3375 \text{ mm}^3$ . The unknown dimension, which is the side length of the cube, is labeled as $x$ .
Recall the formula for the volume of a cube.
The volume $V$ of a cube with side length $x$ is given by the formula:
$V = x^3$
Substitute the given volume into the formula and solve for $x$ .
We have $V = 3375 \text{ mm}^3$ , so:
$x^3 = 3375 \text{ mm}^3$
To find $x$ , we need to take the cube root of both sides:
$x = \sqrt[3]{3375 \text{ mm}^3}$
Calculate the cube root.
$x = 15 \text{ mm}$
The unknown dimension of the cube is $\text{15 mm}$ .

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