Title: (Canvas-Quiz)G11_Surface Area Volume
Course: HBUHSD Geometry Resource Course > Section: Unit 6: Measurement Applications in 2- and 3-Dimensions

Q: Use Euler’s Formula to find the missing number.
Faces: 25
Vertices: 17
Edges: ?
- 43
- 41
- 39
- 40
A: 40

Q: Use Euler’s Formula to find the missing number.
Vertices: 11
Edges: 34
Faces: ?
- 25
- 28
- 26
- 24
A: 25

Q: Use Euler’s Formula to find the missing number.
Edges: 29
Faces: 17
Vertices: ?
- 13
- 14
- 15
- 17
A: 14

Q: Mario’s company makes unusually shaped imitation gemstones. One gemstone had 12 faces and 10 vertices. How many edges did the gemstone have?
- 23 edges
- 22 edges
- 25 edges
- 20 edges
A: 20 edges

Q: Describe the cross section.
- pentagon
- trapezoid
- hexagon
- cube
A: pentagon

Q: Describe the cross section.
- cube
- trapezoid
- pentagon
- square
A: square

Q: Pierre built the model shown in the diagram below for a social studies project. He wants to be able to show the inside of his model, so he sliced the figure as shown. Describe the cross section he created.
- hexagon
- pentagon
- pyramid
- rectangle
A: pentagon

Q: 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.
- 35 cm^; 364 cm^
- 70 cm^; 364 cm^
- 35 cm^; 266 cm^
- 70 cm^; 266 cm^
A: 70 cm^; 266 cm^

Q: Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
- 208 m^; 188 m^
- 136 m^; 188 m^
- 136 m^; 240 m^
- 208 m^; 240 m^
A: 136 m^; 240 m^

Q: Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
- 668 m^; 704 m^
- 645 m^; 740 m^
- 668 m^; 740 m^
- 645 m^; 812 m^
A: 668 m^; 740 m^

Q: Find the surface area of the cylinder in terms of .
- 504 cm^
- 333 cm^
- 382.5 cm^
- 211.5 cm^
A: 211.5 cm^

Q: Find the surface area of the cylinder in terms of .
- 396 in.^
- 522 in.^
- 360 in.^
- 1008 in.^
A: 522 in.^

Q: Find the surface area of the cylinder to the nearest whole number.
- 1791 in.^
- 11281 in.^
- 3204 in.^
- 5815 in.^
A: 3204 in.^

Q: The radius of the base of a cylinder is 38 mm and its height is 51 mm. Find the surface area of the cylinder in terms of .
- 6726 mm^
- 6853 mm^
- 6764 mm^
- 6713 mm^
A: 6764 mm^

Q: Allison is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a theme party. The can has a diameter of 3 feet and a height of 3.5 feet. How much fabric does she need? Round to the nearest square foot.
- 123 ft^
- 61 ft^
- 33 ft^
- 66 ft^
A: 33 ft^

Q: Find the surface area of the regular pyramid shown to the nearest whole number.
- 165 ft^
- 95 ft^
- 70 ft^
- 28 ft^
A: 95 ft^

Q: Find the surface area of the regular pyramid shown to the nearest whole number.
- 1,149 m^
- 550 m^
- 574 m^
- 408 m^
A: 574 m^

Q: Find the surface area of the figure to the nearest whole number.
- 310 ft^
- 158 ft^
- 135 ft^
- 74 ft^
A: 158 ft^

Q: Find the slant height x of the pyramid shown, to the nearest tenth.
- 6.7 mm
- 7.5 mm
- 3.7 mm
- 10.3 mm
A: 6.7 mm

Q: Find the lateral area of the square pyramid shown, to the nearest whole number.
- 7294 yd^
- 3192 yd^
- 4758 yd^
- 3647 yd^
A: 3647 yd^

Q: 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.
- 210 in.^
- 240 in.^
- 42 in.^
- 420 in.^
A: 210 in.^

Q: Find the surface area of the cone to the nearest tenth.
- 203 cm^
- 1341.5 cm^
- 747.7 cm^
- 213.5 cm^
A: 747.7 cm^

Q: Find the surface area of a conical grain storage tank that has a height of 41 meters and a diameter of 16 meters. Round the answer to the nearest square meter.
- 1251 m^
- 2301 m^
- 1050 m^
- 2904 m^
A: 1251 m^

Q: Find the surface area of the cone in terms of .
- 111 cm^
- 57 cm^
- 60 cm^
- 55.5 cm^
A: 60 cm^

Q: Find the slant height of the cone to the nearest whole number.
- 21 m
- 19 m
- 24 m
- 23 m
A: 21 m

Q: The lateral area of a cone is 473 cm^. The radius is 43 cm. Find the slant height to the nearest tenth.
- 15.1 cm
- 11 cm
- 12.9 cm
- 10.7 cm
A: 11 cm

Q: Find the lateral area and surface area of the right cone. Round the answers to the nearest tenth. (The figure is not drawn to scale.)
- L.A. = 395.8 ft^; S.A. = 791.7 ft^
- L.A. = 1583.4 ft^; S.A. = 1244.1 ft^
- L.A. = 622.0 ft^; S.A. = 791.7 ft^
- L.A. = 791.7 ft^; S.A. = 1244.1 ft^
A: L.A. = 791.7 ft^; S.A. = 1244.1 ft^

Q: Find the lateral area of the cone to the nearest whole number.

Not drawn to scale
- 7540 m^
- 3770 m^
- 4712 m^
- 9425 m^
A: 4712 m^

Q: Find the volume of the given prism. Round to the nearest tenth if necessary.
- 308.9 cm^
- 308.2 cm^
- 312.8 cm^
- 302.9 cm^
A: 308.9 cm^

Q: Find the volume of the given prism. Round to the nearest tenth if necessary.
- 580 ft^
- 567 ft^
- 576 ft^
- 488 ft^
A: 576 ft^

Q: Find the volume of the given prism. Round to the nearest tenth if necessary.
- 2450.0 yd^
- 2121.8 yd^
- 1732.4 yd^
- 4243.5 yd^
A: 2121.8 yd^

Q: Find the volume of the given prism. Round to the nearest tenth if necessary.
- 17 m^
- 34 m^
- 8.5 m^
- 1 m^
A: 17 m^

Q: Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 4 inches for a patio if the concrete costs $41.00 per cubic yard?
- $738.00
- $4428.00
- $492.00
- $164.00
A: $164.00

Q: The volume of a cylinder is 980 in.^ The height of the cylinder is 20 in. What is the radius of the cylinder?
- 7 in.
- 49 in.
- 327 in.
- 18 in.
A: 7 in.

Q: Find the volume of the cylinder in terms of .
- 60.8 m^
- 115.52 m^
- 438.98 m^
- 57.76 m^
A: 115.52 m^

Q: Find the volume of the cylinder in terms of .

h = 6 in. and r = 3 in.
- 27 in.^
- 108 in.^
- 54 in.^
- 324 in.^
A: 54 in.^

Q: Find the volume of the cylinder in terms of .
- 175 in.^
- 350 in.^
- 70 in.^
- 140 in.^
A: 350 in.^

Q: Cylinder A has a radius of 1 m and a height of 4 m. Cylinder B has a radius of 2 m and a height of 4 m. Find the ratio of the volume of cylinder A to the volume of cylinder B.
- 5 : 6
- 1 : 4
- 1 : 2
- 1 : 1
A: 1 : 4

Q: Find the height of the cylinder.
- 2.4 in.
- 7.2 in.
- 14.4
- 4.8 in.
A: 2.4 in.

Q: Find the volume of the composite space figure to the nearest whole number.
- 170 cm^
- 180 cm^
- 120 cm^
- 60 cm^
A: 180 cm^

Q: Find the volume of the composite space figure to the nearest whole number.
- 416 mm^
- 705 mm^
- 1294 mm^
- 944 mm^
A: 944 mm^

Q: Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
- 126 cm^
- 907.5 cm^
- 605 cm^
- 55 cm^
A: 605 cm^

Q: Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
- 600 ft^
- 33.3 ft^
- 1200 ft^
- 400 ft^
A: 400 ft^

Q: What is the maximum volume of a pyramid that can fit inside a cube with a side length of 18 cm?
- 5832 cm^
- 2916 cm^
- 1944 cm^
- 972 cm^
A: 1944 cm^

Q: A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5 cm, and a height of 7 cm. The pyramid has a height of 13 cm. Find the volume of the composite space figure.
- 1500 cm^
- 500 cm^
- 2275 cm^
- 850 cm^
A: 850 cm^

Q: Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the height is 21 in. The second pyramid has a height of 84 in. What is the side length of the base of the second pyramid?
- 10 in.
- 21 in.
- 28 in.
- 42 in.
A: 10 in.

Q: Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm.
- 11,520 cm^
- 23,040 cm^
- 7,680 cm^
- 768 cm^
A: 7,680 cm^

Q: Find the volume of the right cone shown as a decimal rounded to the nearest tenth.
- 8821.6 m^
- 2205.4 m^
- 3308.1 m^
- 980.2 m^
A: 2205.4 m^

Q: Find the volume of the right cone shown as a decimal rounded to the nearest tenth.
- 2421.1 yd^
- 1709 yd^
- 142.4 yd^
- 1139.4 yd^
A: 1139.4 yd^

Q: Find the volume of the oblique cone shown. Round to the nearest tenth.
- 108.9 in.^
- 707.9 in.^
- 1061.9 in.^
- 2123.7 in.^
A: 707.9 in.^

Q: Find the volume of the oblique cone shown in terms of .
- 661.5 in.^
- 1323 in.^
- 63 in.^
- 441 in.^
A: 441 in.^

Q: Find the surface area of the sphere with the given dimension. Leave your answer in terms of .

radius of 60 m
- 3,600 m^
- 7,200 m^
- 14,400 m^
- 1,800 m^
A: 14,400 m^

Q: Find the surface area of the sphere with the given dimension. Leave your answer in terms of .

diameter of 14 cm
- 784 cm^
- 196 cm^
- 28 cm^
- 98 cm^
A: 196 cm^

Q: Find the surface area of a sphere with a circumference of 13 mm. Round to the nearest tenth.
- 4.3 mm^
- 53.8 mm^
- 2.1 mm^
- 26.9 mm^
A: 53.8 mm^

Q: A balloon has a circumference of 11 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.
- 121 cm^
- 380 cm^
- 39 cm^
- 154 cm^
A: 39 cm^

Q: Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
- 1527 mm^
- 339 mm^
- 3054 mm^
- 1018 mm^
A: 3054 mm^

Q: Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
- 11,494 cm^
- 359 cm^
- 1,437 cm^
- 205 cm^
A: 1,437 cm^

Q: The volume of a sphere is 5000 m^. What is the surface area of the sphere to the nearest square meter?
- 62,832 m^
- 1517 m^
- 3033 m^
- 195 m^
A: 3033 m^

Q: The volume of a sphere is 1928 m^. What is the surface area of the sphere to the nearest tenth?
- 1606.9 m^
- 24,228 m^
- 142.1 m^
- 803.4 m^
A: 1606.9 m^

Q: Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
- yes;
- yes;
- yes;
- no
A: no

Q: Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
- yes;
- yes;
- yes;
- no
A: yes;

Q: Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
- yes;
- yes;
- yes;
- no
A: yes;

Q: Find the similarity ratio of a prism with the surface area of 81 m^ to a similar prism with the surface area of 361 m^.
- 6859 : 729
- 9 : 19
- 19 : 9
- 729 : 6859
A: 9 : 19

Q: Find the similarity ratio of a cube with volume 216 ft^ to a cube with volume 1000 ft^.
- 3 : 5
- 36 : 100
- 100 : 36
- 5 : 3
A: 3 : 5

Q: If the similarity ratio of two similar solids is 3 : 14, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?
- The ratio of their corresponding areas is 27 : 2744.
The ratio of their corresponding volumes is 9 : 196.
- The ratio of their corresponding areas is 9 : 196.
The ratio of their corresponding volumes is 27 : 2744.
- The ratio of their corresponding areas is 6 : 28.
The ratio of their corresponding volumes is 9 : 42.
- The ratio of their corresponding areas is 3 : 196.
The ratio of their corresponding volumes is 3 : 2744.
A: The ratio of their corresponding areas is 9 : 196.
The ratio of their corresponding volumes is 27 : 2744.

Q: A glass vase weighs 0.22 lb. How much does a similarly shaped vase of the same glass weigh if each dimension is 6 times as large?
- 7.92 lb
- 1.32 lb
- 285.12 lb
- 47.52 lb
A: 47.52 lb

Q: The surface areas of two similar solids are 384 yd^ and 1057 yd^. The volume of the larger solid is 1795 yd^. What is the volume of the smaller solid?
- 1,795 yd^
- 1,082 yd^
- 393 yd^
- 978 yd^
A: 393 yd^

Q: The volumes of two similar solids are 729 m^ and 125 m^. The surface area of the larger solid is 324 m^. What is the surface area of the smaller solid?
- 56 m^
- 100 m^
- 500 m^
- 200 m^
A: 100 m^