• regular pyramid

• slant height

• Find the lateral and total surface areas of pyramids.

Surface Areas of a Pyramid

Find the lateral and total surface areas of the triangular pyramid.

Find the lateral area and the area of the base.

Area of each lateral face

Area of a triangle

Replace b with 5 and h with 8.

Surface Areas of a Pyramid

There are 3 faces, so the lateral area is 3(20) or 60 square inches.

A = 10.8 in2

Answer: The lateral surface area of the pyramid is 60 square inches. The total surface area is 60 + 10.8 or 70.8 square inches.

Area of base

1. A

2. B

3. C

4. D0% 0%0%0%

A. 156 cm2

B. 174 cm2

C. 182 cm2

D. 204 cm2

Find the total surface area of the square pyramid.

TOYS A toy block has the shape of a regular pyramid with a square base. The manufacturer wants to paint the lateral surface green. How many square centimeters will be painted green?

Answer: The lateral surface area is 112 square centimeters.

Lateral surface area of a pyramid

Simplify.

P = 7(4) or 28 and = 8

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 175 cm2

B. 210 cm2

C. 235 cm2

D. 260 cm2

TOYS A toy block has the shape of a regular pyramid with a square base. The manufacturer wants to paint the lateral surface green. How many square centimeters will be painted green?

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 257.6 yd2

B. 229.3 yd2

C. 116.2 yd2

D. 58.1 yd2

Find the surface area of the given solid. Round to the nearest tenth if necessary.

(over Lesson 7-7)

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 108 ft2

B. 114 ft2

C. 120 ft2

D. 132 ft2

Find the surface area of the given solid. Round to the nearest tenth if necessary.

(over Lesson 7-7)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 1,442.9 m2

B. 752.6 m2

C. 501.8 m2

D. 201.6 m2

Find the surface area of the given solid. Round to the nearest tenth if necessary.

(over Lesson 7-7)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 90.6 in2

B. 449.8 in2

C. 615.0 in2

D. 1,890.5 in2

Find the surface area of a cylinder with diameter 14.5 in and height 6.25 in. Round to the nearest tenth if necessary.

(over Lesson 7-7)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 50 cm2

B. 106 cm2

C. 120 cm2

D. 212 cm2

Find the surface area of a rectangular prism with length 20 cm, width 3 cm, and height 2 cm. Round to the nearest tenth if necessary.

(over Lesson 7-7)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 62.8 in2

B. 89.5 in2

C. 94.2 in2

D. 129.6 in2

Jeffrey bought his father a can of tennis balls for his birthday. Jeffrey wants to wrap the can in wrapping paper. If the can has a height of 8.5 inches and a radius of 1.5 inches, how much wrapping paper will Jeffrey need?

(over Lesson 7-7)