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P1 10.5 Surface Area of Pyramids and Cones

Total questions: 13

Worksheet time: 35mins

Name
Class
Date
1.

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 

2.

Find the surface area of each figure.

a)

a

b)

b

c)

c

d)

d

3.

A paper party hat, like the one shown, has a slant height of 6 inches and a radius of 5 inches. How many square inches of cardboard would be needed to create this hat?

a)

94.25 in.2

b)

172.79 in.2

c)

50 in.2

d)

22.5 in.2

4.

Find the surface area of the figure.

Round your answer to the nearest hundredth.

a)

542.87 mm2mm^2

b)

271. 44 mm2mm^2

c)

221.06 mm2mm^2

d)

442.12 mm2mm^2

5.

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

6.

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

a)

Slant Height

b)

Height

c)

Length

d)

Perimeter

7.

Both the pyramid and cone have a what?

a)

Slant height

b)

Circular base

c)

Triangular base

d)

Rectangular face

8.

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 

9.

Find the surface area of each figure.

a)

a

b)

b

c)

c

d)

d

10.

What is the height of the base of this triangular pyramid?

a)

198.9 sq. inches

b)

9 inches

c)

13 inches

d)

7.8 inches

11.
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
12.
Find the slant height of the pyramid.
a)
28 cm
b)
25 cm
c)
21 cm
d)
24 cm
13.

What is the total surface area of the pyramid? Round to the nearest hundredth.

a)

1,024.01 square units

b)

809.54 square units

c)

1,065.54 square units

d)

1,179.02 square units