A hanging light cover made of glass is shaped like a square pyramid. The cover does not have a bottom. One square foot of the glass weighs 2.45 pounds. The chain can support 35 pounds. Will the chain support the light cover? Explain.

Question

Mathematics

Bryce Giles

1 June, 01:52

A hanging light cover made of glass is shaped like a square pyramid. The cover does not have a bottom. One square foot of the glass weighs 2.45 pounds. The chain can support 35 pounds. Will the chain support the light cover? Explain.

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Answers (1)

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Isla Hawkins · Answer 1

Step-by-step explanation:

For this item, all we have to identify is the area of the hanging light cover. Because it is said that it does not have a cover, we are only concerned about the lateral area which is equal to

Lateral area = 4 (x) (l) / 2 = 2xl

where x is the measure of the side of the square base and l is the length of the slant height.

After calculating the area in square foot, we multiply this to 2.45 pounds/ft², if the obtained value is ≤ 35 then, the chain can support the light cover.