Volume of a Cube and a Cuboid

The video tutorial explains the properties of cuboids and cubes, focusing on their faces and congruency. It then details how to calculate the volume of these solids. For a cuboid, the volume is the product of its length, width, and height, measured in cubic units. A cube, being a special type of cuboid with equal dimensions, has its volume calculated as the cube of its length. Examples are provided to illustrate these calculations.

What is a key difference between the faces of a cuboid and a cube?

• Cuboid faces are all congruent and square.

• Cube faces are all congruent and square.

• Cuboid faces are all square.

• Cube faces are rectangular.

How do you determine the volume of a cuboid?

• By doubling the width.

• By multiplying the length, width, and height.

• By adding the length, width, and height.

• By squaring the length.

If a cuboid has a length of 8 units, a width of 4 units, and a height of 2 units, what is its volume?

• 64 cubic units

• 32 cubic units

• 16 cubic units

• 8 cubic units

What makes a cube a special type of cuboid?

• All its faces are rectangular.

• All its sides are equal.

• It has no congruent faces.

• It has more than six faces.

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

• 9 cubic units

• 18 cubic units

• 36 cubic units

• 27 cubic units