Additional Exercises 8.4
Name:
Date:
1. Area is always measured in
1. _______________
?
units.
Find the area of the geometric figure. If the figure is a circle, give an exact area and then
use π = 3.14 to approximate the area.
2. Find the area of a triangle whose base is 12 in. and height is 24 in.
2._______________
3.
3. _______________
9m
3.5 m
4.
4. _______________
12 ft
9 ft
15 ft
5.
5. _______________
29 miles
6.
6. _______________
38 ft
7.
7. _______________
12.5 m
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Additional Exercises 8.4 (Cont.)
8.
8. _______________
2.5 ft
8 ft
9.
9. _______________
4 in.
3.5 in.
10.
10. _______________
14 cm
9 cm
11.
11. _______________
8 in.
7.4 in
12 in.
12.
12. _______________
11 ft
9 ft
15 ft
13.
13. _______________
5 cm
3 cm
8 cm
12 cm
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Additional Exercises 8.4 (Cont.)
14.
14. _______________
6m
8m
15. Find the area of a circle whose diameter is 9.5 cm.
15. _______________
16. The floor of Mary Ellen’s attic is a rectangle 42 feet by 28 feet.
Find how many square feet of insulation are needed to cover the
attic floor.
16. _______________
17. Find the area of a rectangular room with dimensions 24 ft and 74 ft.
17. _______________
18. A round tablecloth has a 52-inch diameter. Approximate its area.
Use π = 3.14.
18. _______________
19. A page in a book measures 13.5 centimeters by 20 centimeters.
Find its area.
19. _______________
1
1
yd. by 2 yd. Find how many square
3
2
yards of material is needed for two curtains.
20. A curtain measures 1
20. _______________
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Additional Exercises 8.5
1. Volume of a solid is measured in
?
units.
Name:
Date:
1. _______________
Find the volume of each solid. Use π = 3.14.
2.
2. _______________
3.
3. _______________
4.
4. _______________
5.
5. _______________
6.
6. _______________
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Additional Exercises 8.5 (Cont.)
7.
7. _______________
8.
8. _______________
9.
9. _______________
10.
10. _______________
11.
11. _______________
12. Find the volume of a rectangular box 2 meters by 1.7 meters
by 2.5 meters.
12. _______________
13. A block of ice is in the shape of a cube 2.5 feet on a side.
Find its volume.
13. _______________
14. Find the volume of a pyramid with a square base 7.5 inches on a
side and a height of 8 inches.
14. _______________
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Additional Exercises 8.5 (Cont.)
15. Approximate, to the nearest hundredth, the volume of a cylinder
5 centimeters tall if the base has a diameter of 3 centimeters.
Use 22 for π 15._______________
7
16. Approximate, to the nearest hundredth, the volume of a cone 9 meters
tall if the base has a radius of 7 meters. Use 22 for π .
16. _______________
7
17. Approximate, to the nearest hundredth, the volume of a sphere with
a diameter of 42 inches. Use 3.14 for π .
17. _______________
18. A grain funnel is in the shape of a cone with the pointed end down.
If the radius is 4 meters and the depth of the funnel is 6 meters,
approximate the volume of the funnel in cubic meters. Use 22 for π . 18. _______________
7
19. Find the capacity (volume in cubic centimeters) of a rectangular ice
chest with inside measurements of 86 centimeters by 43 centimeters
by 60 centimeters.
19. _______________
20. A tennis ball has a diameter of 6 centimeters. Approximate,
to the nearest hundredth, the volume of the ball in cubic centimeters.
Use 22 for π .
20. _______________
7
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Additional Exercises 8.6
Name:
Date:
Find each square root.
1.
36
1. _______________
2.
169
2. _______________
3.
9
225
3. _______________
Approximate each square root. Round each square root to the nearest thousandth.
4. 10
4. _______________
5.
50
5. _______________
6.
90
6. _______________
7.
75
7. _______________
Find the unknown length of each right triangle. If necessary, approximate the length to the
nearest thousandth.
8.
8. _______________
24 ft
?
10 ft
9.
9. _______________
?
4m
9m
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Additional Exercises 8.6 (Cont.)
10.
10. _______________
11 in.
6 in.
?
11. One leg measures 20 cm and the side opposite the right angle
measures 24 cm. Find the length of the other leg.
11. _______________
Sketch each right triangle and find the length of the side not given. If necessary, approximate the
length to the nearest hundredth.
12. leg = 18, leg = 24
12. _______________
13. leg = 7, leg = 10
13. _______________
14. leg = 8, leg = 12
14. _______________
15. leg = 36, hypotenuse = 39
15. _______________
16. leg = 5, hypotenuse = 14
16. _______________
17. leg = 10, hypotenuse = 15
17. _______________
18. Approximate the length of the diagonal path across the rectangular
garden. Round to the nearest hundredth.
18._______________
19. A certain city block is a square with each side measuring 275 feet.
Find the length of the diagonal of the block to the nearest tenth of
a foot.
19._______________
20. Approximate the height of the antenna. Round the height to the
nearest hundredth.
20._______________
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