Surface Area of Prisms and Cylinders Quick Check

Front

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

Back

Lateral Surface Area = 2h(l + w), where h is the height, l is the length, and w is the width.

Tags

CCSS.7.G.B.6

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

What is the formula for the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

How do you find the total surface area of a cylinder?

Back

Total Surface Area = Lateral Surface Area + 2 * Base Area = 2πrh + 2πr².

Front

What is the definition of a prism?

Back

A prism is a solid shape with two identical bases connected by rectangular faces.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What is the definition of lateral surface area?

Back

Lateral surface area is the area of all the sides of a solid, excluding the bases.

Tags

CCSS.7.G.B.6

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height.

Tags

CCSS.6.G.A.1

Front

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

Back

Surface Area = (Base Area × 2) + (Perimeter of Base × Height).

Tags

CCSS.7.G.B.6

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4