Volume/Surface Area of Prisms and Cylinders

Front

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

Back

Volume = length × width × height.

Front

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

Back

Volume = (Base Area × Height) / 2.

Front

What is the formula for the surface area of a rectangular prism?

Back

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

Front

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

Back

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

Front

What does surface area represent?

Back

Surface area is the sum of all the areas of all the shapes that cover the surface of an object.

Front

How do you find the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the total surface area of a prism?

Back

The total surface area is the sum of the areas of all the faces of the prism.

Front

If a rectangular prism has dimensions 5 ft, 4 ft, and 3 ft, what is its volume?

Back

Volume = 5 × 4 × 3 = 60 ft³.

Front

If a triangular prism has a base area of 20 cm² and a height of 10 cm, what is its volume?

Back

Volume = 20 × 10 = 200 cm³.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside an object, while surface area measures the total area of the object's surface.