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A storage cube has a valume of 216 cubic inches . What is the length of one edge of the cube

2 Answers

4 votes

Answer:

6

Step-by-step explanation:

I did
\sqrt[3]{216} (216 to the cube root) as cubes have the same sides

and volume is length times width times height (3 sides to multiply)

Check:

6 times 6 times 6 is 216

User Gonjay
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6 votes

Final answer:

To find the length of an edge of a cube with a volume of 216 cubic inches, calculate the cube root of the volume, which gives an edge length of 6 inches.

Step-by-step explanation:

To find the length of an edge of a storage cube with a volume of 216 cubic inches, we can use the formula for the volume of a cube, which is:

volume of cube = edge length × edge length × edge length, or

edge length³ = volume of cube.

To find the edge length, we take the cube root of the volume:

edge length = √³(volume of cube).

In this case:

edge length = √³(216 cubic inches).

Calculating the cube root of 216:

edge length = 6 inches.

Therefore, each edge of the cube is 6 inches long.

User Etienne Dechamps
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