Q&A for How to Find the Surface Area of a Cube

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What if the cube has different lengths -- for example 3 cm, 4 cm and 3 cm?

Community Answer

All cubes have equal sides. If they aren't equal, they are call rectangular prisms.

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Question

How do I find the total surface area of a cube whose volume is 3?

Donagan

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You would have to refer to a table that gives cube roots, because the formula for finding the surface area of this cube is six times the cube root of 9.

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Question

How do I find the volume of the cube if I only know the surface area?

Donagan

Top Answerer

Divide the surface area by 6. That gives you the area of one side. Find the square root of that area. That gives you the length of one edge. Cube that number. That's the volume (in cubic units).

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How do I calculate the volume?

Donagan

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To find the volume of a cube, cube the length of an edge.

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Question

If a side of a cube is 3/4 units, what is the surface area and what is the volume?

Donagan

Top Answerer

The total surface area is found by multiplying 6 by the square of 3/4: (6)(3/4)(3/4) = 54/16 = 27/8 square units. The volume is the cube of 3/4: (3/4)(3/4)(3/4) = 27/64 cubic units.

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Question

What if the only measurement I have is a square root measurement, such as 13 square root 5, and the answer needs to be rounded to the nearest tenth? I have tried everything I know and nothing is right.

Donagan

Top Answerer

If by "measurement" you mean the length of one of the edges of a cube, to calculate the surface area you would square the given length and then multiply by 6. In this example, (13 √5)² = 845. 845 x 6 = 5,070. To round to the nearest tenth, just write the answer as 5,070.0.

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What if the only value given is the edge of the cube?

Donagan

Top Answerer

See Method 1 above.

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Question

How do I find the surface area of a cube with four inch sides?

Community Answer

The surface area of a cube is 6s^2 where s is the side length. Thus, the surface area is 6(4in)^2 = 96 square inches.

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Question

A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. How do I calculate the surface area after the removal of the blocks?

Community Answer

The side lengths are the cube root of 64 = 4. If you think about it, the corner has three 1 square unit sides, and when you take it out, it will also be the same. Thus, the area is the same as a 4-sided square - 4^2*6 units^2 = 96 square units.

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Question

What must be the length of the side?

Community Answer

For a cube with the side-length of x units long, the surface area is 6x^2. Hence for a given surface area A, x = sq.root of A/6.

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What if I only have the height information?

Donagan

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If by "height" you mean the length of an edge, square that number and multiply by six.

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Question

What is one side of the cube if the surface area is 486 cm sq?

Donagan

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If you're asking about the area of one side or face, divide the total surface area by six. If you're asking about the length of one edge, divide the total surface area by six, then find the square root of that number.

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If a cube has a volume of 123 cm, what is the area of one face of the cube?

Donagan

Top Answerer

If the volume were 125 cubic cm, this would be an easily-calculated answer. But at 123, the answer is a bit inconvenient: you have to find the cube root of 123, then square that number to find the area of one face.

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Question

How do I find lateral surface area?

Donagan

Top Answerer

"Lateral" surface area refers to the area of the side or sides of a three-dimensional figure. In the case of a cube, lateral surface area is the total area of the six identical sides, calculated by cubing the length of one edge.

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Question

How do I find volume of cube when only mass is known?

Donagan

Top Answerer

You would also have to know the density of the material making up the cube. Applying the density to the volume will allow you to derive the mass.

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Question

If the total surface area of a cube is 3750, what is the length of its side?

Donagan

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The length of any edge is found by dividing the total surface area by 6 and then finding the square root of that quotient. In this case 3750 ÷ 6 = 625. √625 = 25.

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Question

How do I find a surface area of the cube if I know the area?

Community Answer

If you know the area of one side, then just multiply the area by 6. A x 6 = surface area (because the area of all sides is the same).

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Question

How do I find the length of a cube if I only know the surface area?

Community Answer

Divide it by 6 and that will give you your length; for example, if you have a surface of 50, then you divide it by six and then your length will be 8.33.

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Question

How do I find the surface of a cube when only the volume and nothing else is given?

Community Answer

If it's a cube, just use the way they did for the section on finding the surface area of a cube when you only know the volume. It is on this article.

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