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Tasya [4]
2 years ago
14

What do I do????????

Mathematics
1 answer:
klio [65]2 years ago
8 0
The answer is 120 units
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Use the net to find the surface area of the prism 8in 15in 17in 9in
exis [7]

Answer:

The surface area of the prism is <u>480 in²</u>.

Step-by-step explanation:

Given:

The prism dimensions are 8in 15in 17in and 9in.

Now, to find the surface area:

So, to get the surface area we put formula:

a=8in, b=15in, c=17in and h=9in.

Surface area = 2A+(a+b+c)h.

Whereas, A=\sqrt{s(s-a)(s-b)(s-c)}

And, s=\frac{a+b+c}{2}

<em>Now, we find </em><u><em>s</em></u><em> first:</em>

s=\frac{a+b+c}{2}

s=\frac{8+15+17}{2}

s=\frac{40}{2}=20.

<em>Then, we get</em><u><em> A </em></u><em>:</em>

A=\sqrt{s(s-a)(s-b)(s-c)}

A=\sqrt{20(20-8)(20-15)(20-17)}

A=\sqrt{20(12)(5)(3)}

<em>On solving we get:</em>

A=\sqrt{3600}=60.

Now, putting the value of A in the formula to get the surface area:

Surface area = 2A+(a+b+c)h.

Surface area = 2\times 60+(8+15+17)9.

Surface area = 120+(40)9.

Surface area = 120+360.

Surface area = 480\ in^2.

Therefore, the surface area of the prism is 480 in².

6 0
3 years ago
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