surface area and volume test unit 6 lesson 9
- Use Euler's formula to find the missing number.
Vertices: 18
Edges: 22
Faces: ?
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4
5
6
8
-What is the shape of the cross section made below
hexagon
trapezoid
pentagon
cube
- A jewelry store has small boxes in which to wrap the items that it sells. The diagram below shows one of the boxes. The diagram is not to scale. What are the lateral area and surface are of the box to the nearest whole number. Use the large 15 cm x 8 cm rectangles on the top and bottom as bases.
Lateral Area = 95 cm^2 ; Surface Area = 275 cm^2
Lateral Area = 137 cm^2 ; Surface Area = 307 cm^2
Lateral Area = 112 cm^2 ; Surface Area = 336 cm^2
Lateral Area = 104 cm^2 ; Surface Area = 344 cm^2
- Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale.
Lateral Area = 984 m^2; Surface Area = 1016 m^2
Lateral Area = 849 m^2; Surface Area = 891 m^2
Lateral Area = 951 m^2; Surface Area = 969 m^2
Lateral Area = 795 m^2; Surface Area = 822 m^2
- A rectangular pyramid fits exactly on top of a rectangular pyramid. The prism has a length of 12 cm, a width of 6 cm, and a height of 8 cm. The pyramid has a height of 18 cm. Find the volume of the composite space figure
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1728 cm^3
576 cm^3
1008 cm^3
432 cm^3
-Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale
848 cm^2
1696 cm^2
15262 cm^2
1287 cm^2
-Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
1209 m^2
790 m^2
1125 m^2
898 m^2
-The lateral area of a cone is 559π. The radius is 16.8 cm. What is the slant height to the nearest tenth of a centimeter?
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8.4 cm
12.9 cm
27.7 cm
33.3 cm
-What is the surface area of the cone below? Figures are not drawn to scale. Round your answer to the nearest whole number
628 in^2
578 in^2
528 in^2
1005 in^2
- What is the volume of the prism shown below?
245 in^3
1568 in^3
669 in^3
1287 in^3
- Find the volume of the cylinder in terms of π. The diagrams are not drawn to scale
81.92π m^3
58.08π m^3
39.71π m^3
43.35π m^3
- If a cylinder has a volume of 2908.33 in^3 and a radius of 11.5 in. What is the height of the cylinder
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5 in
6 in
7 in
8 in
-Find the volume of the pyramid shown below. Round to the nearest whole number. The diagrams are not drawn to scale.
660 ft^3
684 ft^3
750 ft^3
1980 ft^3
-A spherical balloon has a circumference of 25cm. What is the approximate surface area of the balloon rounded to the nearest centimeter?
*
332 cm^2
232 cm^2
198 cm^2
27 cm^2
-What is the volume of the sphere? Round to the nearest cubic meter.
905 m^3
151 m^3
603 m^3
7238 m^3
-The volume of a sphere is 6,000π m^3. What is the surface area of the sphere to the nearest square meter?
*
18850 m^2
33 m^2
1090 m^2
3425 m^2
-Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure. The figures are not drawn to scale.
Yes; 3:5
Yes; 2:3
Yes; 2:5
No they are not similar
-The volumes of two similar solids are 857.5 mm^3 and 540 mm^3. The surface area of the smaller solid is 108 mm^2. What is the surface area of the larger solid?
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147 mm^2
68 mm^2
16 mm^2
216 mm^2
-What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
34311 m^2
18918 m^2
15394 m^2
28742 m^2
-. There is a cube with a side length of 12 cm. What is the maximum volume of a square pyramid that can fit inside the cube?
*
1728 cm^3
288 cm^3
576 cm^3
864 cm^3
Answer key:
Vertices: 18
Edges: 22
Faces: 8
Shape of cross section: trapezoid
Lateral Area = 112 cm^2; Surface Area = 336 cm^2
Lateral Area = 795 m^2; Surface Area = 822 m^2
Volume of composite space figure: 1728 cm^3
Surface Area of cylinder: 1696 cm^2
Surface Area of regular pyramid: 1125 m^2
Slant height of cone: 27.7 cm
Surface Area of cone: 628 in^2
Volume of prism: 245 in^3
Volume of cylinder: 81.92π m^3
Height of cylinder: 5 in
Volume of pyramid: 684 ft^3
Surface Area of balloon: 198 cm^2
Volume of sphere: 7238 m^3
Surface Area of sphere: 1090 m^2
Similarity ratio of solids: 2:5
Surface Area of larger solid: 216 mm^2
Lateral Area of cone: 28742 m^2
Maximum volume of square pyramid: 864 cm^3