How do you find the volume when given the surface area?

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 volume of a cube given the area?

How To Calculate Surface Area Of A Cube Using Volume

1. Divide the given total surface area by six, to get the area of one face.
2. Find the square root of the area of one face to get the length of any side, s. s.
3. Use the volume formula, V = s3.

What is the surface area of a cube 2x2x2?

The surface area is 24 (6 sides, each 2×2). The volume is 8 (2x2x2). For a cube of size 3: The surface area is 54 (6 sides, each 3×3).

What is the surface volume of a cube?

So for a cube, the formulas for volume and surface area are V=s3 V = s 3 and S=6s2 S = 6 s 2 .

What is the volume of a cuboid formula?

The formula of volume of a cuboid is = Length × Width × Height.

What is the volume and surface area of a cuboid?

The volume of the cuboid is equal to the product of the area of one surface and height. Volume of the cuboid = (length × breadth × height) cubic units. Volume of the cuboid = ( l × b × h) cubic units. Example: If the length, breadth and height of a cuboid are 5 cm, 3 cm and 4 cm, then find its lateral surface area.

What is the volume of 7 cubes?

We know, volume of a cube = (side × side × side) cubic units. Here, side = 7 cm. Therefore, volume of a cube = 343 cubic cm.

Is surface area squared or cubed?

Look Out: surface area is only two-dimensional and is expressed as units squared, not units cubed.

Is the volume of a cube the same as surface area?

Explanation: This problem is relatively simple. We know that the volume of a cube is equal to s3, where s is the length of a given side of the cube. 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.

How do you write the volume of a cube?

The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. This results in the formula: Volume = side * side * side.

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 cube with six faces?

The definition of surface area of a given cube states that if the total surface area is equal to the sum of all the areas of the faces of the cube. Since the cube has six faces, therefore, the total surface area of the cube will be equal to sum of all six faces of cube.

What is the length of the edge of a cube?

The length of an edge is the cube root of 64, which is 4 mm. The face area is 4² = 16 sq mm. Thanks! What is the volume of a cube with a surface area of 78 inches?

What do you know about lateral surface area of cube?

The lateral surface area of cube is the total surface area of the cube, which is equal to sum of areas of all its sides. Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin! Congrats!