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The net of a square pyramid is shown:

A square is shown having each side equal to 0.5 inch. Each side of the square has a triangle on it. The height of the triangle is labeled as 0.4 inch.

What is the surface area of the figure?

0.65 square inch 0.50 square inch 0.40 square inch 0.25 square inch

 Mar 21, 2019
 #1
avatar+19876 
0

Square area = side x side = .5 x.5 sq in = .25 sq in

triangles areas  =   4 triangles x 1/2 base x height = 4 x 1/2 x .5  x .4 = .4   

    total = .25 + .4 = .65 sq in

 Mar 21, 2019
 #2
avatar+1015 
-5

Thanks wink

Nickolas  Mar 21, 2019
 #3
avatar+429 
-2

For this problem you can just calculate the areaa of the all the the shapes and add them together... 

 

The two formula's you will need for this will be the area of a triangle and the area of a rectangle 

 

Triangle

\(Base * Height *\frac{1}{2}\)

Rectangle 

\(Length * with\)

 

 

so lets calculate the area of the rectangle 

\(0.5 * 0.5 = 0.25\)

area of thhe rectangle is 0.25 square inches

 

Now to find the area of all four triangles and as you stated they have they all have diffrent heights I will start with the triangle that has a height of 0.40 0r 0.4 and go clock wise. 

 

so the area for this triangle is  

\(0.5 * 0.4 * \frac{1}{2} \)

\(0.5 * 0.4 = 0.20\)

\(0.20 * \frac{1}{2} = 0.1 \)

 

The total area of this triangle is 0.10

 

 

The next triangle is  

\(0.5 * 0.5 * \frac{1}{2}\)

\(0.5 * 0.5 = 0.25\)

\(0.25 * \frac{1}{2} = 0.125\)

The total area is 0.125

 

 

The next triangle. is  I am assuming you get the Idea on how to set up so I am going to jump to the problem from here.

\(0.5 * 0.65 = 0.325\)

\(0.325 * \frac{1}{2} = 0.1625\)

total area 0.1625  

 

The final triangle 

\(0.5 * 0.25 = 0.125\)

\(0.125 * \frac{1}{2} = 0.0625\)

 

 

0.6635 square units. ALTHOUGH I FEEL LIKE I DID SOMETHING WRONG I WOULD GO WITH EP's ANSWER.

 Mar 21, 2019
edited by HiylinLink  Mar 21, 2019
 #4
avatar+19876 
0

HL:    you were spot-on through this point:

 

so the area for this triangle is

....

....

........

The total area of this triangle is 0.10      <-------- all 4 triangles are of the same size   so 4 x .1 = .4    then add to the square

ElectricPavlov  Mar 21, 2019
 #5
avatar+429 
-1

Oh I se Thank you I was just curious because he has numbers at the botom and two of them are the same as the height of the other triangles so I though the other two were the ones that weren't labeled so that kind of was my reasoning for my answer....  

 

The net of a square pyramid is shown:



What is the surface area of the figure?

0.65 square inch 0.50 square inch 0.40 square inch 0.25 square inch 

I Didn't know how to include the pic so I have it like that : )

HiylinLink  Mar 21, 2019
edited by HiylinLink  Mar 21, 2019
 #6
avatar+19876 
+1

I think the numbers at the bottom are choices for answers that the poster has.......

ElectricPavlov  Mar 21, 2019
 #7
avatar+429 
-2

OOOOOH Wow that really makes sense XD can't beilive I did that I could have just multiplied the triangles all together.......

HiylinLink  Mar 21, 2019
 #8
avatar+1015 
-5

Thankyou Guys for the help.

Nickolas  Mar 21, 2019
 #9
avatar+105879 
0

Nickolas, you need to put effort in and learn how to post pictures!

 Mar 21, 2019

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