Volume, Surface Area, and Cross Sections

Front

What is Volume?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Front

What is Surface Area?

Back

Surface area is the total area of the surface of a three-dimensional object, measured in square units.

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 cube?

Back

Surface Area = 6 × (side length)².

Front

What is a triangular prism?

Back

A triangular prism is a three-dimensional shape with two triangular bases and three rectangular faces.

Front

How do you find the volume of a triangular prism?

Back

Volume = (Base Area × Height) where Base Area = 1/2 × base × height of the triangle.

Front

What is a cross section?

Back

A cross section is the intersection of a solid and a plane, showing a two-dimensional shape.

Front

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

Back

Total Surface Area = 2 × Base Area + Lateral Area.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × (radius)² × 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.