Cube Properties

What is the formula to calculate the volume of a cube?

• V = s^2

• V = 4s

• V = s^4

• V = s^3

If the side length of a cube is 5 cm, what is its volume?

• 150 cm^3

• 100 cm^3

• 125 cm^3

• 25 cm^3

What is the formula to calculate the surface area of a cube?

• 3 * (side length)^2

• 2 * (side length)^2

• 4 * (side length)^2

• 6 * (side length)^2

If the side length of a cube is 3 units, what is its surface area?

• 45 square units

• 54 square units

• 36 square units

• 27 square units

If the volume of a cube is 64 cubic units, what is the length of each side?

• 8

• 4

• 10

• 6

If the surface area of a cube is 150 square cm, what is the length of each side?

• 2.91 cm

• 5.2 cm

• 3.75 cm

• 4.5 cm

What is the relationship between the volume and surface area of a cube?

• The volume of a cube is proportional to the cube of the side length, while the surface area of a cube is proportional to the square of the side length.

• The volume of a cube is proportional to the square of the side length, while the surface area is proportional to the cube of the side length.

• The volume of a cube is inversely proportional to the side length, while the surface area is directly proportional to the side length.

• The volume of a cube is proportional to the side length, while the surface area is proportional to the cube of the side length.

If the volume of a cube is 125 cubic units, what is its surface area?

• 200

• 100

• 150

• 175

If the surface area of a cube is 294 square units, what is its volume?

• 343

• 512

• 216

• 125

Explain how to find the volume and surface area of a cube with an example.

• The surface area of a cube is calculated by adding the areas of all its faces.

• To find the volume of a cube, multiply the length, width, and height together.

• For example, if a cube has a side length of 5 units, the volume would be 5^3 = 125 cubic units and the surface area would be 6 * 5^2 = 150 square units.

• The volume of a cube is found by dividing the surface area by the side length.