10-Surface Area of Pyramids and Cones - Kuta Software

Kuta Software - Infinite Geometry

Name___________________________________

Surface Area of Pyramids and Cones

Date________________ Period____

Copy the measurements given onto the net of each solid. 1)

2) 26

30

20

13

3)

4)

12

21.9 18

13

20

8

18

8.9

5)

6) 24 23.4 33

14

16

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Worksheet by Kuta Software LLC

Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary. 7)

8) 11.3 cm 9 cm 10.6 ft 8 ft 9 cm

9 cm 7.8 cm

5.5 ft

9)

10) 6.3 in

12.2 in

4 in

6 in

4 in

5.2 in

11)

12) 12.5 mi 11.3 cm 11 mi 6 cm 7.6 mi

13) A pyramid with slant height 6.8 mi whose triangular base measures 11 mi on each side. Each altitude of the base measures 9.5 mi.

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5.2 cm

14) A rectangular pyramid measuring 4 in and 9 in along the base, with slant heights of 10.1 in and 9.2 in, respectively.

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Name___________________________________

Surface Area of Pyramids and Cones

Date________________ Period____

Copy the measurements given onto the net of each solid. 1)

2) 26

30

20

13

20

26

30

20 13 20

3)

4)

12

21.9 18

13

8

18

8.9 12

21.9

18

18 8

8.9 13

5)

6) 24 23.4 33

14

16 24 23.4 14 33 16

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Worksheet by Kuta Software LLC

Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary. 7)

8) 11.3 cm 9 cm 10.6 ft 8 ft 9 cm

9 cm 7.8 cm

5.5 ft

152.6 cm²; 187.7 cm²

212 ft²; 322 ft²

9)

10) 6.3 in

12.2 in

4 in

6 in

4 in

50.4 in²; 66.4 in²

5.2 in

219.6 in²; 313.2 in²

11)

12) 12.5 mi 11.3 cm 11 mi 6 cm 7.6 mi

5.2 cm

343.8 mi²; 552.8 mi²

13) A pyramid with slant height 6.8 mi whose triangular base measures 11 mi on each side. Each altitude of the base measures 9.5 mi.

203.4 cm²; 297 cm²

14) A rectangular pyramid measuring 4 in and 9 in along the base, with slant heights of 10.1 in and 9.2 in, respectively.

112.2 mi²; 164.5 mi²

123.2 in²; 159.2 in²

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Worksheet by Kuta Software LLC