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Mathematics
9th -
12thgrade
Quarter 3, HW #38 - Unit 11 Review
20 questions
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- 1. Match
Choose the geometric solids to model each object?
cylinder & spheres
cylinder
octagonal prism
cylinder & cone
triangular prism
- 2. Multiple Choice
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
113.0 in3
37.7 in3
339.1 in3
- 3. Multiple Choice
If there are 100 butterflies in this cube, what is the number of butterflies per cubic cm?
- 4. Labeling
Label each part of the figure.
answer choiceslateral faceBASEvertexheightslant heightedge - 5. Multiple Choice
Find the lateral surface area. Use pi for pi. The diameter is 18. Round to the nearest tenths.
7121.5
1780.4
395.6
197.9
- 6. Multiple Choice
Find the volume of the figure. Round to the nearest tenth.
128.6 units³
1,286.8 units³
401.9 units³
5,144.6 units³
tags8.7.A - 7. Multiple Choice
The following figures are cylinders, cones, and spheres. Select the cylinder figures. Select two correct answers.
tags8.7.A - 8. Multiple Choice
Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.
A
B
C
D
- 9. Drag and Drop
The cone has a height equal to the cube's (a) . The volume of the cone is (b) the volume of the cube. The volume of a cone is (c) .
heightless than1/3Bhmore thanBh - 10. Drag and Drop
If the cylinder has a radius of 4 cm and a height of 10 cm, describe the cross section including dimensions. The cross section is a (a) with h = (b) and b = (c) .
rectangle10 cm8 cm4 cm20 cmsquarecircle - 11. Multiple Choice
What is the volume of the shape?
83.8 in³
92.6 in³
97.3 in³
86.1 in³
- 12. Fill in the Blank
- 13. Match
if this triangle is rotated about the x axis, match the correct items below
radius
cone
height
6 units
solid of revolution
3 units
volume
- 14. Multiple Choice
- 15. Multiple Choice
Find the volume of the given sphere.
418.7 cubic ft
3,984.6 cubic ft
4,188.8 cubic ft
4,319.8 cubic ft
- 16. Multiple ChoiceFind the slant height of the pyramid.28 cm25 cm21 cm24 cm
- 17. Multiple Choice
Find the surface area of this triangular prism. Note the base is an equilateral triangle.
312 cm2
184 cm2
200 cm2
164 cm2
- 18. Multiple Choice
What is the volume of rectangular pyramid?
660 cm^3
220 cm^3
330 cm^3
110 cm^3
- 19. Multiple Choice
a) Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.
True
False - the cross sectional areas are not relevant
False - only the slant height is relevant
False - even if they have the same cross sectional areas and heights, they cannot have the same volume.
- 20. Multiple ChoiceIf the ratio of the areas of two similar figures is 64:121, what is the ratio of their volumes?64:1218:11120:242512:1331
- Answer choicesTagsAnswer choicesTags