AnswersMath 7 B M12 2526 S2Cross Sections

Surface Area of Pyramids Answers

7 verified answers
1
Free Preview

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.
2
Free Preview

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
3

Gio is studying the rectangular pyramid below. He believes the surface area, in square millimeters, can be found by simplifying this expression.What error is Gio making?

Question illustration
A
He used the wrong values as the bases of the lateral faces.
B
He used the wrong expression to represent the area of the base of the pyramid.
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.
4

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.
5

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
one square and three triangles
B
one square and four triangles
C
three squares and one triangle
D
three squares and two triangles
6

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
one square and three triangles
B
one square and four triangles
C
three squares and one triangle
D
three squares and two triangles
7

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

Question illustration
A
20
B
40
C
104
D
144
8

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
A net with a triangular base and 3 square sides.
Option A
B
A net with a square base, 2 triangular sides, and 2 square sides.
Option B
C
A net with a square base and 4 triangular sides.
Option C
D
A net with a square base, 2 triangular sides, and 4 square sides.
Option D
9

Which statements are true about the rectangular pyramid below? Select three options.

Question illustration
A
The area of the base is 24 cm2.
B
There are four lateral faces.
C
All the lateral faces are congruent.
D
The total surface area of the figure is 66.4 cm2.
E
At least one of the lateral faces has an area equal to 24 cm2.
10

The net below can be folded to form a square pyramid.What is the surface area of the pyramid?

Question illustration
A
190.8 square inches
B
217.8 square inches
C
300.6 square inches
D
354.6 square inches

Did you find these answers helpful?

More from this Course

Quiz
9 verified answers

Volume and Surface Area Problems

Quiz
8 verified answers

Surface Area of Prisms

Quiz
8 verified answers

Volume of Prisms

Surface Area of Pyramids Answers — Math 7 B M12…