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VikaD [51]
3 years ago
10

Find the following for the given pyramid: Slant height, lateral area, surface area, and volume. Please show all work!

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0
You have:
 1)The slant height is:
 Slant height=√[(8 inches)²+(8 inches)²]
 Slant height=10 inches
 2)The lateral area is:
 LA=(Perimeter)(Slant height)/2
 LA=(6 inches)(4)(10 inches)/2
 LA=120 inches²
 3)The Surface area is:
 SA=Base area+(PerimeterxSlant height/2)
 SA=(6 inches)²+(24 inchesx10 inches/2)
 SA=156 inches²
 4)The volume is:
 V=(6 inches)²(8 inches/3)
 V=96 inches³
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The lateral area of a cone is 400 pi cm^2. The radius is 10 cm. Find the slant height to the nearest tenth.
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The slant height is 40cm.

EXPLANATION

The lateral area of a cone is given by:

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It was also given that, the lateral area is 400π cm²

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