Question

MEDAL AND FAN


The square pyramid pictured below has a surface area of _____.


144 m 2
120 m 2
189 m 2
126 m 2

Answer 1

@hartnn

Answer 2

There are 4 triangular faces and a square base.
How do you find the area of a square?

Answer 3

base x heigh

Answer 4

base x height? i thought it was s^2

Answer 5

A square has 4 sides of equal length.
What is the area of a square?
You can say length times width, but the length and the width of a square are equal.
So to simplify call the length and width the side, or just simply s.
\(A_{square} = s^2 \)

Answer 6

In your case, the side of the square base is 6 m.
What is the area of the base?

Answer 7

36 is the area of the square

Answer 8

Great. The area of the square base is 6m^2.
Now we find the area of the sides.

Answer 9

Each side is a triangle with a base of 6 m and a height of 9 m.
What is the formula of the area of a triangle?

Answer 10

@iribeiro1602 Are you still there?

Answer 11

yes sorry

Answer 12

so I need to multiply 6 x 9?

Answer 13

np
No.
What is the formula for the are of a triangle?

Answer 14

b x h/ 2

Answer 15

You need to calculate the area of the 4 triangular faces. Since all triangles are congruent, you just need to find the area of one of them and multiply it by 4.

Answer 16

Correct.

The area of 1 triangle is A = (b x h )/2 = (6 m x 9 m)/2 = ?

Answer 17

ok so it will be 6 x9 / 2 = 27 x 4

Answer 18

108?

Answer 19

108 + 36

Answer 20

144

Answer 21

Right. 1 triangle has an area of 27 m^2
The 4 triangles have an area of 4 x 27 m^2 = 108 m^2.
Now you add that area to the area of the square base, 36 m^2.
You got the total correct.
Good job!

Answer 22

Btw, nice figure you drew up there!