Volume and Surface Area

Front

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

Back

Volume = length × width × height

Front

Define surface area in the context of three-dimensional shapes.

Back

Surface area is the total area of the surface of a three-dimensional object.

Front

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

Back

Surface Area = 6 × (side length)²

Front

How do you calculate the volume of a cylinder?

Back

Volume = π × (radius)² × height

Front

What is the relationship between volume and surface area?

Back

Volume measures the space inside a shape, while surface area measures the area covering the shape.

Front

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

Back

Surface Area = 4π × (radius)²

Front

How do you find the volume of a cone?

Back

Volume = (1/3) × π × (radius)² × height

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × (radius)³

Front

Define a prism and give an example.

Back

A prism is a solid shape with two identical ends and flat sides. Example: Rectangular prism.

Front

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

Back

Surface Area = 2(lw + lh + wh) where l = length, w = width, h = height.