Question 1

What is the volume of a cube with side 5?

Accepted Answer

V = 5^3 = 5 x 5 x 5 = 125 cubic units. The surface area is 6 x 25 = 150 square units, and the space diagonal is 5 x sqrt(3) = 8.66 units.

Question 2

How do I find the side length if I know the volume?

Accepted Answer

Take the cube root of the volume: s = V^(1/3). For a volume of 64 cubic cm: s = 64^(1/3) = 4 cm. For a volume of 1,000 cm^3: s = 10 cm (this is exactly 1 liter).

Question 3

What is the surface area of a cube?

Accepted Answer

Surface area = 6 x s^2, because a cube has 6 identical square faces each with area s^2. A cube with side 4 has surface area = 6 x 16 = 96 square units. Surface area is useful for calculating paint, wrapping paper, or material needed to cover the cube.

Question 4

How do I convert cubic centimeters to liters?

Accepted Answer

1 liter = 1,000 cm^3 (or 1,000 mL). A cube with side 10 cm has volume 1,000 cm^3 = 1 liter. A cube with side 1 m has volume 1,000,000 cm^3 = 1,000 liters. For cubic inches: 1 gallon = 231 cubic inches.

Question 5

Does this calculator assume all sides are equal?

Accepted Answer

Yes. A cube by definition has all 12 edges equal in length. If your box has different length, width, and height, use the rectangular prism volume calculator instead (V = L x W x H).

Calculadora de Volume do Cubo

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