Infinite Geometry - Surface Area of Pyramids

Geometry

Name___________________________________ ID: 1

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Surface Area of Pyramids

Date________________ Period____

Find the surface area of each figure. 1.) Write out the formula. 2) Make the substitutions. 3) Calculate and round your answers to the nearest tenth. 1)

2) 8.4 mi

8.3 mi 7 mi

5 mi

5 mi

7 mi

7 mi

6.1 mi

3)

4) 5.1 mi

3.2 mi

2 mi

5.4 mi

4 mi

2 mi

5)

2 mi

6) 4.1 cm

4.3 in

5 in

3 cm

3 cm

4.3 in

3 cm

5 in

5 in

2.6 cm

Worksheet by Kuta Software LLC

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7)

8) 11.7 m

12.3 mi 10 mi

12 m

12 m 10 mi 8.7 mi

9)

10 mi

10) 6.3 cm

3.1 in

7 cm

7 cm

7 cm

3 in

3 in 6.1 cm

11)

3 in

2.6 in

12)

13.9 yd

12.2 in

8 yd

6 in 5.2 in

6.9 yd

Worksheet by Kuta Software LLC

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Find the lateral area of each figure. Recall that lateral area is the area of the faces that are not bases. Round your answers to the nearest tenth, if necessary. 13)

14) 9.5 cm

10.8 cm

6 cm

9.8 in

8 in

8 in

12 cm

15)

16) 8.5 yd

5.4 cm

10 yd

10 yd

10 yd

7 cm

7 cm

7 cm

8.7 yd

17)

6.1 cm

18) 6.3 yd

6.1 in 4 in

4 yd

4 yd 4 in

4 in 3.5 in

Find the surface area of each figure. 1) Draw a diagram. 2) Show equations! Round your answers to the nearest hundredth, if necessary. 19) A pyramid with slant height 5 m whose triangular base measures 2 m on each side. Each altitude of the base measures 1.7 m.

Worksheet by Kuta Software LLC

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20) A rectangular pyramid measuring 8 m and 12 m along the base, with slant heights of 10 m and 8.9 m, respectively.

21) A square prism measuring 3 cm along each edge of the base and 5 cm tall.

22) A pyramid with slant height 7.8 cm whose triangular base measures 12 cm on each side. Each altitude of the base measures 10.4 cm.

Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary. 23)

24)

8 ft 4 ft

8 in 10 ft 6 ft 5 in

25)

8 mi

2.6 mi

26) 8 mi

3 km

3 mi

8 km

5 km

5 mi 8 km

3 km

Worksheet by Kuta Software LLC

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Answers to Surface Area of Pyramids (ID: 1) 1) 108.5 mi² 5) 22.4 cm² 9) 87.5 cm² 13) 178.8 cm² 17) 50.4 yd² 21) 78 cm² 25) 185.8 mi²

2) 109 mi² 6) 43 in² 10) 17.9 in² 14) 156.8 in² 18) 36.6 in² 22) 202.8 cm² 26) 158 km²

3) 16.8 mi² 7) 424.8 m² 11) 499 yd² 15) 127.5 yd² 19) 16.7 m² 23) 408.41 in²

4) 39.2 mi² 8) 228 mi² 12) 313 in² 16) 56.7 cm² 20) 282.8 m² 24) 144 ft²

Worksheet by Kuta Software LLC

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