Surface Area and Volume of Prisms

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height

Front

How do you calculate the surface area of a rectangular prism?

Back

Surface Area = 2(length × width + length × height + width × height)

Front

What is a prism?

Back

A solid shape with two identical ends and flat sides. The sides are parallelograms.

Front

What is the difference between a triangular prism and a rectangular prism?

Back

A triangular prism has triangular bases, while a rectangular prism has rectangular bases.

Front

If a box has a volume of 24 cubic units and a height of 3 units, what is the area of the base?

Back

Area of the base = Volume / Height = 24 / 3 = 8 square units.

Front

What is the surface area of a cube with a side length of 4 units?

Back

Surface Area = 6 × (side length)^2 = 6 × 4^2 = 96 square units.

Front

How do you find the volume of a cylinder?

Back

Volume = π × (radius)^2 × height.

Front

What is the formula for the total surface area of a cylinder?

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

If a prism has a base area of 10 square units and a height of 5 units, what is its volume?

Back

Volume = Base Area × Height = 10 × 5 = 50 cubic units.

Front

What is the volume of a triangular prism with a base area of 12 square units and a height of 4 units?

Back

Volume = Base Area × Height = 12 × 4 = 48 cubic units.