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I WILL GIVE BRAINLISEST AND 40 pOINTS PLEASE HELP!

Determine the surface area of the square based pyramid. Round to the tenths place. 37 cm is the vertical height of the pyramid.

I WILL GIVE BRAINLISEST AND 40 pOINTS PLEASE HELP! Determine the surface area of the-example-1
User Are Almaas
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1 Answer

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10 votes

Answer:

SA= 3603.84cm^2

Explanation:

the Surface Area SA is the total area of the sides and the base.

The area of the base= 32*32= 1024cm^2

the area of one of the sides = slant height of pyramid * base edge/2

the slant height l of the pyramid

l= sqrt(16^2+37^2) = 40.31cm

area of the side =( 40.31*32)/2 =644.96cm^2

there are 4 sides so the area of the sides are

4* 644.96=

addig the area of the base we get the Surface Area SA of the pyramid

SA = 2579.84 + 1024 = 3603.84cm^2