A. Cubeb. trapezoid c. pentagon d. square 1. 1. Describe the cross section. EOC Practice.
Transcript of A. Cubeb. trapezoid c. pentagon d. square 1. 1. Describe the cross section. EOC Practice.
a. Cube b. trapezoid c. pentagon d. square
1. Describe the cross section.
EOC Practice
2. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number.
EOC Practice
a. 35 cm ; 364 cm b. 70 cm ; 364 cm
c. 35 cm ; 266 cm d. 70 cm ; 266 cm
πΊ . π¨ .=π·π+π πππ=ΒΏΒΏπ
π=ΒΏ
Base Area
Lateral Area
ΒΏππ .ππ+π ππΒΏππ+π(ππ)(π)
ΒΏπππ
πΊ . π¨ .=π·π+ππ©
5
2
5.39
26
Not drawn to scale
3. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
EOC Practice
a. 322 mΒ² ; 327 mΒ² b. 296 mΒ² ; 342 mΒ²
c. 296 mΒ² ; 332 mΒ² d. 322 mΒ² ; 332 mΒ²
πΊ . π¨ .=π·π+ππ©
ΒΏπππππ
4. Find the surface area of the cylinder in terms of .
EOC Practice
a. 350 cmΒ² b. 896 cmΒ²
c. 602 cmΒ² d. 644 cmΒ²
π=π
5. Find the surface area of the regular pyramid shown to the nearest whole number.
EOC Practice
5 ft
5 ft
7 ft
Not drawn to scale
a. 165 ftΒ² b. 95 ftΒ²
c. 70 ftΒ² d. 28 ftΒ²
π=ΒΏΒΏπ
ΒΏπ΅
6. Find the slant height of the pyramid shown, to the nearest tenth.
EOC Practice
7 mm
3 mm
3 mm
x
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a. 6.3 mm b. 7.6 mm c. 4.1 mm d. 7.2 mm
π=ΒΏΒΏπ
ΒΏπΒΏπ΅
ππ=ππ+πππ΅π=(ππ π)π
+ππ
π .ππ΅π= (π .π )π+(π)ππ΅π=ππ .πππ΅=βππ .ππ π΅=π .ππππ
7. Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in.
EOC Practice
a. 210 inΒ² b. 240 inΒ² c. 42 inΒ² d. 420 inΒ²
π³ . π¨ .=ππ
(π)(π)(ππ )π΅=ππ=π
π=π
8. Find the surface area of the cone in terms of .
EOC Practice
17 cm
3 cm
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a. 111 cmΒ² b. 57 cmΒ²
c. 60 cmΒ² d. 55.5 cmΒ²
9. Find the slant height of the cone to the nearest whole number.
EOC Practice
a. 21 m b. 19 m c. 24 m d. 23 m
19 m
10 m
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πππ΅ ππ=ππ+πππ΅π=ππ+πππ΅π=(ππ)π+(ππ)ππ΅π=ππππ΅=βππππ΅=ππ .ππ
*** Find the Surface Area of the sphere shown. Give each answer rounded to the nearest cubic unit.
EOC Practice
πΊ . π¨ .=ππ π π
πΊ . π¨ .=π(π .ππ)(π)π
πΊ . π¨ .=πππ .πππΊ . π¨ .=πππππ Β²
10. Find the volume of the given prism. Round to the nearest tenth if necessary.
EOC Practice
a. 308.9 cmΒ³ b. 308.2 cmΒ³ c. 312.8 cmΒ³ d. 302.9 cmΒ³
π½=ππππ½=ππ ππ½=(ππ .π)(π .π)(π)π½=πππ .ππ
π½=π©π
11. Find the volume of the given prism. Round to the nearest tenth if necessary.
EOC Practice
a. 17 mΒ³ b. 34 mΒ³ c. 8.5 mΒ³ d. 1 mΒ³
π½=π©ππ½=(ππ ππ) (π )
π½=(ππ (π)(π)) (ππ)
π½=ππππ
12. The volume of a cylinder is 980 in. The height of the cylinder is 20 in. What is the radius of the cylinder?.
EOC Practice
a. 7 in b. 49 in c. 327 in d. 18 in
π½=πππ π π=πππ=?
π½=π πππππππ =π π π(ππ)
πππ ππ=ππ
π=π
πππ
π½=π©π
13. Find the volume of the cylinder in terms of .
EOC Practice
a. 27 in.Β³ b. 27 in.Β³ c. 54 in.Β³ d. 324 in.Β³
h = 6 in. and r = 3 in.
π½=π πππ
h = 6 in. and r = 3 in.
π½=π (π )π(π)π½=ππ π
π½=π©π
14. Find the volume of the cylinder in terms of .
EOC Practice
a. 704 in.Β³ b. 88 in.Β³ c. 176 in.Β³ d. 352 inΒ³
π½=π ππππ½=π (π )π(ππ)π½=πππ π
π½=π©π
15. Find the height of the cylinder.
EOC Practice
a. 2.4 in. b. 7.2 in. c. 14.4 in. d. 4.8 in.
π½=π ππππππ .π=π .ππ(π)πππππ .π=πππ .ππππ .π=π
π½=π©π
16. Find the volume of the composite space figure to the nearest whole number.
EOC Practice
a. 416 mmΒ³ b. 705 mmΒ³ c. 1294 mmΒ³ d. 944 mmΒ³
π½=π©π
π½=ππ
(π π ππ )+πππ π½=(ππ (π ππ)+ππ)π
π½=(ππ (π .ππΓπ .ππ )+πΓπ)πππ½=(ππ .ππππ+ππ )πππ½=πππ .πππππ
17. Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
EOC Practice
a. 126 cmΒ³ b. 907.5 cmΒ³ c. 605 cmΒ³ d. 55 cmΒ³
11 cm11 cm
15 cm
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π½=πππ©π
π½=ππππ π
π½=ππ
(ππ)(ππ)(ππ)
π½=πππ
18. Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
EOC Practice
a. 1280 ftΒ³ b. 85.3 ftΒ³ c. 1920 ftΒ³ d. 3840 ftΒ³
π½=πππ©π
π½=ππππ π
ππ=ππ+πππ΅π=ππ+ππ
πππ=ππ+ππ
πππ=ππ+πππππ=ππ
βπππ=πππ=π
π½=ππ
(ππ)(ππ)(ππ )
π½=ππππ
19. Find the volume of the right cone shown as a decimal rounded to the nearest tenth
EOC Practice
a. 8821.6 mΒ³ b. 2205.4 mΒ³ c. 3308.1 mΒ³ d. 980.2 mΒ³
26 m
18 m
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π½=πππ©π
π½=ππ
(π π π)π
π½=ππ
(π (π )π )πππ½=ππππ .ππ
20. Find the volume of the oblique cone shown. Round to the nearest tenth.
EOC Practice
a. 108.9 in.Β³ b. 707.9 in.Β³ c. 1061.9 in.Β³ d. 980.2 in.Β³
16 in.
13 in.
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π½=πππ©π
π½=ππ
(π π π)π
π½=ππ
(π (π .π )π )πππ½=πππ .ππ
21. Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
EOC Practice
a. 11,494 cmΒ³ b. 359 cmΒ³ c. 1,437 cmΒ³ d. 205 cmΒ³
π½=πππ ππ
π½=πππ (π)π
π½=ππππ .ππ
22. The volume of a sphere is 5000 m . What is the surface area of the sphere to the nearest square meter?
EOC Practice
a. 62,832 mΒ² b. 1517 mΒ² c. 3033 mΒ² d. 195 mΒ²
π½=πππ ππ
ππππ π =πππ ππ
ππππ=π π
πβππππ=πππ .ππππ=π
πΊ . π¨ .=ππ π π
πΊ . π¨ .=ππ (ππ .ππππ)π
πΊ . π¨ .=ππππ .πππ