Question

(MEDAL AND A FAN!) Math Help!

Answer 1

can anyone help me with math?

Answer 2

State your question.

Answer 3

What is the volume of the composite figure?

Answer 4

i want to be told how to do it if that is alright with you?

Answer 5

Ok. When you are looking at this Figure, what two shapes do you see?

Answer 6

a pyramid and a rectangular prism

Answer 7

Exactly. We treat those as two different shapes until the end. First, let's work on the rectangular prism. Fine the Volume

Answer 8

9?

Answer 9

sorry 9yd

Answer 10

No. We are finding Volume, This is a 3D figure. Volume for a rectangular prism is LxWxH

Answer 11

i got 24

Answer 12

Yes. That is the area of the rectangular prism. What is it measured in?

Answer 13

yards

Answer 14

No. cubic yards. (or yd^3). So the volume of the Rectangular prism is:
\[24yd ^{3}\]

Answer 15

ok, and what do we do the pyramid?

Answer 16

Do you know the formula for finding the volume of a square pyramid?

Answer 17

no

Answer 18

Rectangular Prism*

Answer 19

\[V=\frac{ L W H }{ 3 }\]

Answer 20

So plug in the numbers and multiply then divide.

Answer 21

so then i would do 24 over 3?

Answer 22

@Nairz

Answer 23

No. It's the length, width, and height of the pyramid. So 2x2x3.

Answer 24

Then divide by 3

Answer 25

when i divided my final answer was 4

Answer 26

yes. now add both volumes together.

Answer 27

is the answer 28 cubic yards then?

Answer 28

yes.

Answer 29

very good!

Answer 30

thanks can you help with another one?

Answer 31

sure

Answer 32

A square pyramid has a total surface area of eight hundred square feet. The area of the base is two hundred square feet. What is the area of one triangular face of the lateral surface?

Answer 33

how do i do this one too?

Answer 34

@Nairz

Answer 35

Okay. We have a square pyramid. So the base is square and there are 4 triangles around the base that form the pyramid. All of these triangles are the same. So if the base is 200ft^2 and the total surface area is 800 ft ^2, we have 600ft^2. Since all 4 sides are the same, they all have the same surface area, meaning we can divide 600 by 4 and get the surface area of each side.

Answer 36

Understand?

Answer 37

150?

Answer 38

150Ft^2

Answer 39

ok, i see, can you show me how to find the area of a few shapes?

Answer 40

Remember this simple rule: "N cubed." This simply means "No Naked Number." Never leave numbers without a unit if you are finding area, volume, or surface area.

Answer 41

Yes.

Answer 42

One sec, let me draw this out.

Answer 43

Think of this one as 3 different shapes.

Answer 44

So we have: