Lateral Area of a Prism

Surface Area of Prisms and Cylinders

Prisms

A prism is a figure with two congruent parallel faces, called bases

Other faces are called lateral faces

An altitude of a prism is a perpendicular segment that joins the planes of the bases.

The height of the prism is the length of an altitude

Vocab

Lateral Area: the sum of the areas of the lateral faces

Surface Area: the sum of the lateral area and the area of the two bases

FInding Surface Area of a Prism

Using a net

Surface Area = Lateral Area + Area of the Bases

Lateral and Surface Area of Prisms Formulas

The lateral area of a right prism is the product of the perimeter of the base and the height.

L.A. = ph

The surface area of a right prism is the sum of the lateral area and the area of the two bases.

S.A. = L.A. + 2B

Using Formulas

Use the formulas to find the lateral area and surface area of the prism

Multiple Choice

Jesse needs to wrap the present shown below. How much wrapping paper would he need?

Which formula can be used to find the surface area of the present?

• SA=Ph+2B
• SA=2πrh+2πr²
• SA=Ph
• V=Bh

Multiple Choice

Jesse needs to wrap the present shown below. How much wrapping paper would he need?
How much wrapping paper is needed?

• 300 in²
• 558 in²
• 327 in²
• 354 in²

Cylinders

A cylinder has two parallel circular bases.

The height of a cylinder is a perpendicular segment that joins the plans of the bases.

Lateral and Surface Area of Cylinders

Multiple Choice

Find the surface area

• 410 cm³
• 358 cm³

• 402 cm³
• 401 cm³

Finding Surface Area of a Cylinder

The radius of the base of a cylinder is 4 in and its height is 6 in. Find the surface area of the cylinder.

Multiple Choice

Find the surface area of a cylinder with height 10 cm and radius 10 cm. Round to the nearest hundredth.

• 628.32 cm²

• 100 cm²

• 1256.64 cm²

• 1034.65 cm²

Multiple Choice

Find the surface area of the cylinder.

• 471.24 square centimeters
• 157.08 square centimeters
• 314.16 square centimeters
• 296.72 square centimeters

Multiple Choice

Find the total surface area of the prism.

• 48 square inches
• 64 square inches
• 88 square inches
• 76 square inches

Multiple Choice

Find the surface area of a cube with side length 12 m.

• 144 m²

• 36 m²

• 864 m²

• 216 m²