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There are 216 one-inch cubes stacked in such a way as to create a larger cube. How many one-inch cubes are on a single edge of the larger cube?

2 Answers

6 votes

Final answer:

To find out how many one-inch cubes are on a single edge of the larger cube formed by stacking 216 cubes, take the cube root of 216, which is 6. Therefore, each edge has 6 one-inch cubes.

Step-by-step explanation:

If there are 216 one-inch cubes stacked to form a larger cube, we need to determine how many cubes are along each edge of this larger cube. The volume of a cube is calculated as length × width × height, and since all sides of a cube are equal, we can say that the length, width, and height are all the same. Therefore, to find the length of one side, we take the cube root of the volume. The cube root of 216 is 6, meaning each edge of the larger cube is composed of 6 one-inch cubes.

User NCore
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5.4k points
5 votes

Answer:

36 on a surface edge

6 on a corner edge length or width.

Step-by-step explanation:

As this is a cube each dimension has to be equal.

so the answer simply is square root the area.

√216 = 6 √6

We double check

6^2x6 = 36 x 6 then complete the cube 36 x 6 = 216

Rectangles are much different when working out lengths as whatever is workable in multiplication across and down shows different results.

An edge of a single cube means the surface similar to cross section.

So there are 6 on a line , we multiply this by 6 and find 36 on a single surface.

There are 6 on the corner edge.

User Gema Sanchez
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