AnswersIntegrated Math II FullArea of Composite Figures

Surface Area Answers

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The rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches.

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A
1,440 square inches
B
1,584 square inches
C
1,872 square inches
D
2,160 square inches
2
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The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches.What is the surface area of the cone? Express the answer in terms of .

Question illustration
A
240 square inches
Option A
B
384 square inches
Option B
C
480 square inches
Option C
D
624 square inches
Option D
3

A cake is created by assembling two layers as shown in the diagram below. The exposed surfaces of the cake require frosting.

Question illustration
A
352 square inches
B
372 square inches
C
392 square inches
D
432 square inches
4

The base of a cylinder has a radius of 9 centimeters. The cylinder is 12 centimeters tall.

Question illustration
A
108 cm2
B
339 cm2
C
678 cm2
D
972 cm2
5

An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters. The distance between the tallest points of the two pyramids is 2 centimeters.

Question illustration
A
3.75 square centimeters
B
6 square centimeters
C
7.5 square centimeters
D
12 square centimeters
6

A cube has a lateral area of 676 square feet.What is the side length of the cube?

A
4.3 feet
B
6.5 feet
C
10.6 feet
D
13 feet
7

The square pyramid below has a height of 12 centimeters and a slant height of 20 centimeters. The square base of the pyramid has side lengths of 32 centimeters.

Question illustration
A
384 cm2
B
640 cm2
C
768 cm2
D
1280 cm2
8

For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid is 12 inches tall.What is the surface area of the model?

A
240 square inches
B
260 square inches
C
340 square inches
D
360 square inches
9

The triangular bases of a triangular prism have three congruent sides, each measuring 10 centimeters. The height of each of the triangular bases is approximately 8.7 centimeters. The height of the prism is 15 centimeters.

Question illustration
A
450 cm2
B
450 cm3
C
537 cm2
D
537 cm3
10

A rectangular prism has dimensions x units, 2x units, and x + 8 units.Which expression represents the surface area of the prism?

A
8x + 16 square units
B
16x + 32 square units
C
10x2 + 48x square units
D
2x3 + 16x2 square units

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