AnswersGrade 7 MathematicsSurface Area of Pyramids

Surface Area of Pyramids — Quiz Answers

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1
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What error is Gio making?

A
He used the wrong expression to represent the area of the base of the pyramid.
B
He used the wrong values as the bases of the lateral faces.
C
He used two different values as the heights of the lateral faces.
D
He used an expression for surface area that did not include all the faces.
2
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What is the surface area of the pyramid?

A
217 point 8 square inches
B
354 point 6 square inches
C
190 point 8 square inches
D
300 point 6 square inches
3

What is the surface area of a square pyramid if the base has an area of 16 cm squared and the lateral faces have a slant height of 12 cm ?

A
112 cm squared
B
640 cm squared
C
208 cm squared
D
400 cm squared
4

Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces. Which statement best describes the faces of the pyramid?

A
three squares and two triangles
B
one square and three triangles
C
one square and four triangles
D
three squares and one triangle
5

A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is constructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2 x Which statement best describes how the surface area of Sydney’s pyramid compares to the surface area of the original pyramid?

A
Sydney’s pyramid will have a surface area that is exactly double the original pyramid’s because the slant height is used when finding the area of every lateral face.
B
Sydney’s pyramid will have the same surface area because the 1 half in the expression for the area of the triangular faces will make up for the slant height being doubled.
C
Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area.
D
Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
6

Garry is studying a square pyramid and wants to draw a net of the figure to help determine its surface area. Which net represents a square pyramid?

A
Image with description A net. Two triangles are surrounded by 3 squares, one attached to each side. One square is shared by both triangles.
B
Image with description A net. The center of the net is a triangle. Each side of the triangle shares a side with a square.
C
Image with description A net. The center of the net is a square. A triangle is attached to the left and right sides of the square. A square is attached to the opposite side of each triangle such that one vertex of each square touches a vertex of the center square.
D
Image with description A net. The center of the net is a square. Each side of the square shares a side with a triangle. The 4 triangles appear to be congruent.
7

A square pyramid has a base with side lengths of 5 centimeters each and a slant height of 8 centimeters. What is its surface area? Enter your answer in the box.

Answer:

105

8

Which statement best describes her work?

A
Tracy’s answer will be correct because she made use of the fact that 2 times 1 half is equal to 1 in her expression.
B
Tracy’s answer will be incorrect because the pyramid has five faces and her expression finds the sum of only three products.
C
Tracy’s answer will be incorrect because she forgot the factor 1 half in the expression representing the area of the triangular faces.
D
Tracy’s answer will be correct because a rectangular pyramid has only three faces and the expression finds the sum of three products.
9

What is the total surface area of the rectangular pyramid shown?

A
788 square feet
B
1,000 square feet
C
596 square feet
D
404 square feet
10

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

A
8 point 2 times 10 point 3 plus 2 times open paren 1 half 10 point 3 10 point 3 close paren plus 2 times open paren 1 half 8 point 2 10 point 3 close paren
B
8 point 2 times 10 point 3 plus 2 times open paren 1 half 10 point 3 11 point 1 close paren plus 2 times open paren 1 half 8 point 2 11 point 1 close paren
C
8 point 2 times 8 point 2 plus 4 times open paren 1 half 8 point 2 11 point 1 close paren
D
8 point 2 times 8 point 2 plus 4 times open paren 1 half 8 point 2 10 point 3 close paren

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