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Worksheets

Surface Area of Pyramids & Cones

Total questions: 20

Worksheet time: 47mins

Name
Class
Date
1.
Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.
a)
152.6 cm²; 187.7 cm²
b)
212 ft²; 322 ft²
c)
219.6 in²; 313.2 in²
d)
50.4 in²; 66.4 in²
2.
Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.
a)
212 ft²; 322 ft²
b)
152.6 cm²; 187.7 cm²
c)
219.6 in²; 313.2 in²
d)
50.4 in²; 66.4 in²
3.

How do you find the lateral  area of a cone?

a)

 πrl\pi rl 

b)

 πrl+πr2\pi rl+\pi r^2 

c)

 12Pl\frac{1}{2}Pl

d)

 12Pl+B\frac{1}{2}Pl+B

4.

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

a)

πrl\pi rl  

b)

πrl+πr2\pi rl+\pi r^2  

c)

12Pl\frac{1}{2}Pl

d)

12Pl+B\frac{1}{2}Pl+B

5.

What is the total surface area of the cone?

a)

91.374 in2

b)

56.52 in2

c)

169.56 in2

d)

28.3 in2

6.

Find the Total Surface Area of the given figure.

a)

477.52m2

b)

427.26m2

c)

578.05m2

d)

628.32m2

7.

Find the total surface area of the figure.

a)

353.43 mm2mm^2

b)

833.67 mm2mm^2

c)

176.7 mm2mm^2

d)

566.76 mm2mm^2

8.

How do you find the lateral area of a pyramid?

a)

 πrl\pi rl 

b)

 πrl+πr2\pi rl+\pi r^2 

c)

 12Pl\frac{1}{2}Pl

d)

 12Pl+B\frac{1}{2}Pl+B

9.

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

a)

πrl\pi rl  

b)

πrl+πr2\pi rl+\pi r^2  

c)

12Pl\frac{1}{2}Pl

d)

12Pl+B\frac{1}{2}Pl+B

10.

What does the l in the cone and pyramid surface area formulas represent?

a)

Slant Height

b)

Height

c)

Length

d)

Perimeter

11.

Name the following solid

a)

Triangular Pyramid

b)

Triangular Prism

c)

Triangular Cone

d)

A Chrysler

12.

Find the lateral area of each cone. Round to the nearest tenth.

a)

188.5 m2188.5\ m^2

b)

648.6 m2648.6\ m^2

c)

87.4 m287.4\ m^2

d)

134.5 m2134.5\ m^2

13.

Find the surface area of each space figure, to the nearest square unit.

a)

1,202 cm2

b)

1,241 cm2

c)

1,250 cm2

d)

1,256 cm2

14.

Find the slant height of a cone with diameter 32 and height 63.

a)

70

b)

64

c)

65

d)

72

15.

Find the lateral area of the hexagonal pyramid with base length 26 and height 84.

a)

6630

b)

6552

c)

13,260

d)

13,104

16.

Find the lateral area of the figure. Round your answers to the nearest tenth, if necessary

a)

219.6 in²

b)

50.4 in²

c)

152.6 cm²

d)

212 ft²

17.

Find the surface area of the figure. Round your answers to the nearest tenth, if necessary.

a)

313.2 in²

b)

66.4 in²

c)

187.7 cm²

d)

322 ft²

18.

Find the lateral area of the regular pyramid. Round to the nearest tenth if necessary.

a)

MEME

b)

NONO

c)

NONO

d)

NONO

19.

Find the surface area of each regular pyramid. Round to the nearest tenth if necessary.

a)

NONO

b)

MEME

c)

NONO

d)

NONO

20.

Find the lateral area of each cone. Round to the nearest tenth.

a)

188.5 m2188.5\ m^2

b)

648.6 m2648.6\ m^2

c)

87.4 m287.4\ m^2

d)

134.5 m2134.5\ m^2