Question

The Lateral Surface area of a cube is numerically equal to its Volume.
Find parameter of Base of the Cube.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

How do I find the volume of a cube which is numerically equal to its volume and surface area?

I like that you have included the phrase numerically equal, because they are different units and can never be the same, but they can have the same number before the different units.

The formula for the volume of a cuboid is : V = (l)(w)(h), but this is a cube so (l) = (w) = (h). So the volume is l³.

The surface area of a cube is 6 x the area of one face. The area of one face is l². So the surface area is 6l².

Set these two formulas equal: 6l² = l³ Divide both sides by l² => l = 6

Volume = 6³ = 216 units³ , surface area = 6(6)² = 216 units²