Lateral and Surface Area Formulas

What is the Lateral Area of a Prism formula?

What is the Surface Area of a Prism formula?

What is the Lateral Area of a Cylinder formula?

What is the Surface Area of a Cylinder formula?

What is the Lateral Area of a Pyramid formula?

What is the Surface Area of a Pyramid formula?

What is the Lateral Area of a Cone formula?

Lateral Area of Prisms

The formula for finding the lateral area (LA) of a prism is LA = ph, where p is the perimeter of the base and h is the height of the prism.

Surface Area of Prisms

The surface area (SA) of a prism is calculated using SA = LA + 2B, where LA is the lateral area and B is the area of the base.

Lateral Area of Cylinders

For cylinders, the lateral area is determined by the formula LA = 2πrh, combining the radius (r) and height (h) of the cylinder.

Surface Area of Cylinders

The formula for the surface area of a cylinder is SA = LA + 2B, similar to prisms, where B represents the area of the circular base.

Lateral Area of Pyramids

For pyramids, the lateral area is given by LA = (1/2) * p * l, where p is the perimeter of the base and l is the slant height.

Surface Area of Pyramids

The surface area of a pyramid can be found using the formula SA = LA + B, where LA is the lateral area and B is the area of the base.

Lateral Area of Cones

The lateral area of a cone is calculated using LA = (1/2) * (2πr) * l, where r is the radius and l is the slant height of the cone.

Test your knowledge of lateral area and surface area formulas for various geometric shapes. This quiz covers prisms, cylinders, and pyramids, helping you understand the key mathematical concepts involved. Perfect for students looking to strengthen their understanding of geometry.