Shannonrhianna
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Find the surface area of this triangular prism.
Please explain as well, I’m struggling with it.

Find The Surface Area Of This Triangular Prism Please Explain As Well Im Struggling With It class=

Sagot :

Answer:

SA= 84 cm^2

Step-by-step explanation:

So first locate all the surfaces

we got 5 sides in total

Now calculate each one

Lets start with the 2 triangles

so formula for area of triangl is 1/2(b*h)

So in this case it’s 6

Now there are 2 identical triangles

So Times the 6 by 2

You’ll get 12

Thats 2 sides

Now for the side with the rectangle of 5cm and 6cm

Area of rectangle is 5*6=30

That would onay be 1 side

Now for the bottom of the prisim which is the side with 4cm and 6cm

Same rectangle so multiply

4*6=24

Thats another side down

The last side is on the left with the back not visible. The two dimensions are 6 and 3

Now multiply 6*3

18

Now add up your total

18+24+12+30=84

So 84 cm^2 OR 84 square centimeters

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Answer:

84 [tex]cm^{2}[/tex]

Step-by-step explanation:

To find the surface area of a prism, one will have to find the area of each of the sides of the prism, then add the areas up. First, find the dimensions of each of the sides

Front; 5 x 6

Front triangle; 3 x 4

Back triangle; 3 x 4

Bottom; 4 x 6

Back; 3 x 6

The front is a rectangle, hence one has to [tex]base * height[/tex] to find the area;

5 x 6

= 30

The front triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;

[tex]\frac{3*4}{2}[/tex]

= 6

The back triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;

[tex]\frac{3*4}{2}[/tex]

= 6

The back is a rectangle, so one has to do [tex]base * height[/tex] to find the area;

4 * 6

= 24

The bottom is a rectangle,  o one has to do [tex]base * height[/tex] to find the area;

3 * 6

= 18

Noe one has to add up all the areas to find the total surface area;

Front + Front_triangle + Back_triangle + Bottom + Back

30 + 6 + 6 + 24 + 18

= 84

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