AnswersGrade 7 MathematicsSurface Area of Composite Figures

Surface Area of Composite Figures — Quiz Answers

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1
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Which statement best describes her work?

A
Helen’s net is incorrect because she treated the figure as a single rectangular pyramid instead of a composite shape.
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 correct because she reorganized the solid as a triangular prism.
D
Helen’s net is incorrect because she forgot to include the shared rectangular face where the upper and lower solids are joined together.
2
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What is the total surface area of the composite solid?

A
1,080 square inches
B
1,152 square inches
C
792 square inches
D
936 square inches
3

What error did Devon make?

A
He included the 34 by 20 base of the figure.
B
He used 26 instead of 24 as the slant height of one set of lateral faces.
C
He omitted the rectangle where the upper and lower solids join together.
D
He believed the upper part of the figure was a pyramid instead of a prism.
4

Which expression represents the total surface area, in square centimeters, of the figure?

A
8 times open paren 1 half 24 5 close paren
B
8 times open paren 1 half 24 13 close paren
C
24 times 24 plus 8 times open paren 1 half 24 5 close paren
D
24 times 24 plus 8 times open paren 1 half 24 13 close paren
5

What statement best describes Kayla’s error?

A
She left out one of faces of the solid. She should have simplified 2 times open paren 5 times 7 close paren plus 2 times open paren 6 times 7 close paren plus 2 times open paren 1 half 5 9 point 3 close paren plus 2 times open paren 1 half 6 9 point 2 close paren plus 5 times 6 .
B
She used the wrong expression for the lateral faces of the solid and left out the base of the figure. She should have simplified 2 times open paren 1 half 5 open paren 7 plus 9 point 3 close paren close paren plus 2 times open paren 1 half 6 open paren 7 plus 9 point 2 close paren close paren plus 5 times 6 .
C
She used the wrong expression for the lateral faces of the solid. She should have simplified 2 times open paren 1 half 5 open paren 7 plus 9 point 3 close paren close paren plus 2 times open paren 1 half 6 open paren 7 plus 9 point 2 close paren close paren .
D
She included the face where the pyramid and prism are joined together. She should have simplified 2 times open paren 5 times 7 close paren plus 2 times open paren 6 times 7 close paren plus 2 times open paren 1 half 5 9 point 3 close paren plus 2 times open paren 1 half 6 9 point 2 close paren minus 2 times open paren 5 times 6 close paren .
6

What is the total surface area of the solid?

A
558 square centimeters
B
982 square centimeters
C
842 square centimeters
D
702 square centimeters
7

What is the surface area of the figure?

A
1 comma 175 cm squared
B
2 comma 050 cm squared
C
1 comma 325 cm squared
D
1 comma 020 cm squared
8

What is the surface area of the composite solid?

A
1 comma 658 m squared
B
1 comma 808 m squared
C
1 comma 508 m squared
D
1 comma 958 m squared
9

What is the total surface area of the solid?

A
1114 point 4 square millimeters
B
1004 point 4 square millimeters
C
1466 point 4 square millimeters
D
1290 point 4 square millimeters
10

What is the surface area of the composite solid?

A
119 m squared
B
146 m squared
C
162 m squared
D
174 m squared

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