Volume and Surface Area

Front

What is Volume?

Back

The amount of space occupied by a 3D shape, measured in cubic units.

Front

What is Surface Area?

Back

The sum of the areas of all the surfaces (faces) of a 3D shape.

Front

How do you calculate 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 the formula for the volume of a cylinder?

Back

Volume = π × radius² × 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 is a square pyramid?

Back

A 3D shape with a square base and four triangular faces that meet at a point.

Front

How do you calculate the volume of a square pyramid?

Back

Volume = (1/3) × base area × height.

Front

How do you calculate the surface area of a square pyramid?

Back

Surface Area = base area + (1/2) × perimeter of base × slant height.

Front

What is the relationship between surface area and volume?

Back

Surface area measures the exterior, while volume measures the interior space of a shape.