AnswersFL-1205040-MJ Grade 7 Mathematics B -GFConstructing Triangles

Surface Area of Pyramids Answers

10 verified answers1 views
1
Free Preview

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

Question illustration
A
10,956
B
7,428
C
7,056
D
3,528
2
Free Preview

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 surface area of the square pyramid below?

Question illustration
A
120 cm2
B
132 cm2
C
156 cm2
D
276 cm2
4

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.
5

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
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

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.
8

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
9

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
10

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.

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Volume of Pyramids

Quiz
10 verified answers

Introduction to the Volume of a Sphere

Quiz
10 verified answers

Volume of Prisms

Surface Area of Pyramids Answers — FL-1205040-MJ…