Question

A square pyramid is shown below







What is the surface area of the pyramid

Answer 1

You will need to add 5 faces. Can you find the area of each triangle? The square?

Answer 2

There are 4 triangles. We need to find the area of all 4 triangles. We will use the formula A = 1/2 b x h for the triangles x 4 because we have 4 triangles.

There is 1 square at the bottom. The formula for that is A = s^2 s = side

Answer 3

ok

Answer 4

So first the Triangle.
We can also do b x h / 2 \[\frac{ b \times h }{ 2 }\]

Answer 5

So what is the base and what is the height of the triangle given to us?

Answer 6

hight is 8

Answer 7

0.7

Answer 8

So we just plug it in. \[\frac{ 0.7\times8 }{ 2 }\]

Answer 9

What is 0.7 x 8?

Answer 10

5.6

Answer 11

\[Now~5.6\div2=Your~answer.~:)\]

Answer 12

2.8

Answer 13

Good. Now we have to multiply 2.8 x 4 because there are 4 more triangles like that.

Answer 14

11.2

Answer 15

Now we keep 11.2 aside and work on the square.
The formula is \[A=s ^{2}\]

Answer 16

So what is the side length of the square at the bottom?

Answer 17

0.7

Answer 18

So we square 0.7
\[What~is~0.7^{2}~?\]

Answer 19

im not sure

Answer 20

When you square a number, you are just multiplying it by itself.
So basically what we're doing is 0.7 x 0.7

Answer 21

ok I got it

Answer 22

0.49

Answer 23

Good.
Now we bring the 11.2 back and add it to the 0.49 and what do we get?

Answer 24

ok I got it

Answer 25

:) Great job! :)