AnswersMath 7 B M12 2526 S2Surface Area of Pyramids

Surface Area of Pyramids Answers

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1
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What is the total surface area of this rectangular pyramid?_____________ square meters

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A
10,956
B
7,428
C
7,056
D
3,528
2
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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, 2x. 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 the same surface area because the in the expression for the area of the triangular faces will make up for the slant height being doubled.
Option A
B
Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area.
C
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.
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.
3

What is the total surface area of this rectangular pyramid?_____________ square feet

Question illustration
A
149
B
153
C
225
D
297
4

Vikram is studying the square pyramid below. To find the surface area of the pyramid, in square inches, Vikram wrote . What error did Vikram make?

Question illustration
A
He used the same expression for the area of all four lateral faces.
B
He used the wrong expression to represent the area of the base of the pyramid.
C
He used the wrong value as the height when he found the area of the lateral faces.
D
He used an expression for surface area that only finds the total area of three faces.
5

What is the surface area of the rectangular pyramid below?

Question illustration
A
386.9 ft2
B
593.8 ft2
C
639.4 ft2
D
1,053.2 ft2
6

What is the surface area of a square pyramid if the base has an area of 16 cm2 and the lateral faces have a slant height of 12 cm?

A
112 cm2
B
208 cm2
C
400 cm2
D
640 cm2
7

What is the total surface area of the square pyramid?__________ square inches

Question illustration
A
20
B
40
C
104
D
144
8

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

Question illustration
A
404 square feet
B
596 square feet
C
788 square feet
D
1,000 square feet
9

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

Question illustration
A
(8.2) (8.2) + 4 (one-half (8.2) (10.3))
Option A
B
(8.2) (8.2) + 4 (one-half (8.2) (11.1))
Option B
C
(8.2) (10.3) + 2 (one-half (10.3) (10.3)) + 2 (one-half (8.2) (10.3))
Option C
D
(8.2) (10.3) + 2 (one-half (10.3) (11.1)) + 2 (one-half (8.2) (11.1))
Option D
10

Tracy used the expression to find the surface area, in square centimeters, of the rectangular pyramid below.Which statement best describes her work?

Question illustration
A
Tracy’s answer will be incorrect because she forgot the factor in the expression representing the area of the triangular faces.
Option A
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 correct because she made use of the fact that in her expression.
Option C
D
Tracy’s answer will be correct because a rectangular pyramid has only three faces and the expression finds the sum of three products.

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