Surface Area of Prisms

Front

What is the definition of surface area?

Back

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

Front

How many faces does a rectangular prism have?

Back

A rectangular prism has 6 faces.

Front

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

Back

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

Front

What is the total surface area of a triangular prism?

Back

The total surface area of a triangular prism is calculated by adding the areas of the two triangular bases and the three rectangular sides.

Front

How do you find the surface area of a cylinder?

Back

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

Front

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

Back

Surface Area = 6a², where a = length of a side.

Front

What is a prism?

Back

A prism is a three-dimensional shape with two parallel, congruent bases connected by rectangular faces.

Front

How do you calculate the surface area of a cone?

Back

Surface Area = πr(r + l), where r = radius and l = slant height.

Front

What is the difference between lateral surface area and total surface area?

Back

Lateral surface area is the area of the sides of a prism, while total surface area includes the area of the bases as well.

Front

What is the surface area of a rectangular prism with dimensions 5 in, 7 in, and 3 in?

Back

Surface Area = 2(5*7 + 5*3 + 7*3) = 2(35 + 15 + 21) = 2(71) = 142 in².