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Fofino [41]
3 years ago
10

The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346.41 square inches. The prism is 12 inches tal

l. What is the approximate lateral area of the prism? Round to the nearest whole number.
Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

The approximate lateral area of the prism is 831\ in^{2

Step-by-step explanation:

we know that

The lateral area of the prism is equal to

LA=PH

where

P is the perimeter of the base of the prism

H is the height of the prism

Find the perimeter of the hexagonal base

Remember that the area of the hexagonal base is equal to

A=\frac{1}{2} P(a)

where

P is the perimeter

a is the apothem

we have

A=346.41\ in^{2}

a=10\ in

substitute and solve for P

346.41=\frac{1}{2} P(10)

P=346.41/5=69.282\ in

<em>Find the lateral area</em>

LA=PH

we have

P=69.282\ in

H=12\ in

substitute the values

LA=(69.282)(12)=831\ in^{2

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Hello again!

It looks like you need a lot of help today. I'm glad I am able to help you!

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The question you need to ask yourself is "How do you find the zeros of a function.

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The area of the given square pyramid is:

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To get the surface area of the pyramid, we can just get the area of each of these simpler parts.

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Answer:

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