AnswersMath 7 B M12 2526 S2Surface Area of Composite Figures

Surface Area of Composite Figures Answers

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1
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The composite solid was formed by joining a square pyramid and a rectangular prism. What is the surface area of the composite solid? [Not drawn to scale]

Question illustration
A
360 square feet
B
380 square feet
C
410 square feet
D
480 square feet
2
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What is the surface area of this composite solid?______________ square feet

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A
242
B
319
C
363
D
517
3

What is the surface area of the composite solid?

Question illustration
A
1,508 m2
B
1,658 m2
C
1,808 m2
D
1,958 m2
4

Kayla’s work to find the surface area of a composite solid formed when a rectangular prism and rectangular pyramid are joined at their bases is shown below. SA = square unitsWhat statement best describes Kayla’s error?

Question illustration
A
She used the wrong expression for the lateral faces of the solid. She should have simplified .
Option A
B
She left out one of faces of the solid. She should have simplified .
Option B
C
She used the wrong expression for the lateral faces of the solid and left out the base of the figure. She should have simplified .
Option C
D
She included the face where the pyramid and prism are joined together. She should have simplified .
Option D
5

The solid was created by connecting two congruent square pyramids to a rectangular prism.What is the surface area of this solid?_____________ square inches

Question illustration
A
1380
B
1500
C
1920
D
3000
6

Two identical square pyramids were joined at their bases to form the composite figure below. [Not drawn to scale]Which expression represents the total surface area, in square centimeters, of the figure?

Question illustration
A
8 (one-half (24) (5))
Option A
B
8 (one-half (24) (13))
Option B
C
(24) (24) + 8 (one-half (24) (5))
Option C
D
(24) (24) + 8 (one-half (24) (13))
Option D
7

Two rectangular pyramids were joined at their bases to form the composite figure.What is the surface area of the figure?

Question illustration
A
1,020 cm2
B
1,175 cm2
C
1,325 cm2
D
2,050 cm2
8

What is the total surface area of the solid?

Question illustration
A
558 square centimeters
B
702 square centimeters
C
842 square centimeters
D
982 square centimeters
9

Helen wants to find the surface area of the solid pictured on the left, so she constructs a net of the solid pictured on the right.Which statement best describes her work?

Question illustration
A
Helen’s net is incorrect because she forgot to include the shared rectangular face where the upper and lower solids are joined together.
B
Helen’s net is correct because she included the front, back, left, right, and bottom faces of the solid.
C
Helen’s net is incorrect because she treated the figure as a single rectangular pyramid instead of a composite shape.
D
Helen’s net is correct because she reorganized the solid as a triangular prism.
10

Which statement is true about the composite solid?

Question illustration
A
The solid has a total of 9 faces.
B
There are the same number of triangular faces as there are rectangular faces.
C
The solid is formed by joining a rectangular pyramid and a triangular prism at a common face.
D
If all of the triangular faces are congruent, then all of the rectangular faces must be congruent as well.

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