main idea/vocabulary regular pyramid slant height find the lateral and total surface areas of...
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• 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)
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