How do you find surface area when given volume?

Volume is a measure of capacity and is measure in cubic units. To calculate the volume of a rectangular prism, multiply the area of the base (length × width) times height.

How do you find the surface area of a cube?

Correct answer: The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube.

How do you find the surface area and volume of a cube?

The volume of the cube is 512 cubic meters. To determine the surface area of a cube, calculate the area of one of the square sides, then multiply by 6 because there are 6 sides. This is the same as solving using the formula SA = 6s2.

What is the surface area in inches of a cube that has a volume of 512 cubic inches?

Volume of the cube is 512 cubic inches. The value of a is 8. Therefore, the surface area of cube is 384 square inches.

What is the surface area of a 3x3x3 cube?

As you already know, a cube has six square faces. If each of those faces is 3 inches by 3 inches, then the area of each face is 3 × 3 = 9 square inches. And since there are six of them, the total surface area is 9 + 9 + 9 + 9 + 9 + 9 = 54 square inches.

What is the surface area of cuboid?

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

What is the surface area of the cube in inches?

Since the sides of a cube are all the same, the surface area of the cube is equal to 6 times the area of one face. For our dimensions, one face has an area of 12 * 12 or 144 in2. Therefore, the total surface area is 6 * 144 = 864 in2.

What is the length of 512 cubic inches?

Correct answer: Since it’s a cube, though, the length, width, and height are all equal, and equivalent to the length of one edge of the cube. Therefore, to find the lenght of an edge of the cube, just find the cube root of the volume. In this case, the cube root of 512 is equal to 8.

How do you find the volume of a cube with surface area?

To find the volume of a cube from its surface area, first use the formula for surface area to find the length of one side of your cube. To do this, plug the surface area you’re given into the formula, which is surface area = 6x^2, where x is the length of one side of the cube.

What is the surface area of a 125 cubic foot cube?

A cube with a volume (V) of 125 cubic units has a surface area (A) of 150 square units. Cube Surface Area from Volume Formula If you have a cube with a known volume V and are trying to find the surface area A first calculate the side length S by using this formula:

What does the surface of a cube mean?

A cube is a special type of cuboid where each of the six faces are squares. The volume of a cube = length3. This means length × length × length. The surface area of a cube = 6 × area of one square.

What is the volume of a 6-sided cube?

A cube is a special type of cuboid where each of the six faces are squares. The volume of a cube = length3 This means length × length × length The surface area of a cube = 6 × area of one square