AnswersMath 7 B M12 2526 S2Surface Area of Pyramids

Surface Area of Pyramids Answers

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The largest pyramid at Giza is a square pyramid. It has a base of 756 feet and a slant height of 612 feet. Which represents the two-dimensional net of this pyramid?

A
A rectangular pyramid. The rectangular base is 756 feet by 612 feet.
Option A
B
A square pyramid. The square base has side lengths of 756 feet. The triangular sides have a height of 612 feet.
Option B
C
A square pyramid. The square base has side lengths of 756 feet. The triangular sides have a height of 612 feet. The triangles connect to the square by their points.
Option C
D
5 connected triangles with a base of 756 feet and height of 612 feet.
Option D
2
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The area of each triangular face is in.2.

Answer not available
3

Gabriel will need in.2 of paint.

Answer not available
4

The total surface area of the pyramid is 95.75109✔ 141.5191.5 square inches.

A
95.75
B
109
C
141.5
D
191.5
5

How much paint does he need?

Answer not available
6

Consider the square pyramid shown. If each dimension is doubled, how does the surface area change?

A
The surface area doubles.
B
The surface area triples.
C
The surface area increases by 4 times.
D
The surface area increases by 8 times.
7

The area of the square base is in.2. The area of each triangular face is in.2. Gabriel will need in.2 of paint.

Answers:
Selection 1:144
Selection 2:66
Selection 3:408
8

Which statements are true? Check all that apply.

A
The solid formed by the net will be a rectangular pyramid.
B
The solid formed by the net will be a square pyramid.
C
All four triangular faces have an area of 12 m2.
D
There are two sets of opposite congruent triangular faces.
E
The base has an area of 30 m2.
9

Alina says the area of the rectangular face is 10 in.2. Is she correct?

A
No, the face’s dimensions are 4 in. by 7 in., so the area is 28 in.2.
B
No, the face’s dimensions are 4 in. by 6 in., so the area is 24 in.2.
C
No, the face’s dimensions are 6 in. by 7 in., so the area is 21 in.2.
D
Yes, the face’s dimensions are 4 in. by 6 in., so the area is 10 in.2.
10

The base of the rectangular pyramid shown has an area of 10✔ 50100105 square inches

A
10
B
50
C
100
D
105
11

What is the surface area of the pyramid?

A
24.9 m2
B
55.7 m2
C
75.7 m2
D
105.4 m2
12

Explain how you could calculate the surface area of a square pyramid.

Answer:

To calculate the surface area of a square pyramid, first find the area of the square base by multiplying the side length by itself. Then, find the area of one triangular face using the formula 1/2 * base * slant height. Multiply the area of one face by four to get the total lateral area. Finally, add the area of the base and the total area of the four faces together.

13

A triangular face with a base of 10 inches has an area of ✔ 2835.55662 square inches.

A
28
B
35.5
C
56
D
62
14

A triangular face with a base of 5 inches has an area of 14✔ 17.7535.538.5 square inches.

A
14
B
17.75
C
35.5
D
38.5

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