Question

How much glass is needed to manufacture 1000 paperweights?

Answer 1

Find the amount of glass necessary to create on, the volume of that pyramid, and then multiply it by 1000. V=1/3 (h) (a^2)
V= 4(9)(1/3)
V=12
12(1000)=12000
The amount of glass needed to make 1000 paperweights would be 1200 inches cubed

Answer 2

To make 1000 paperweights 12000 $in^3$ of glass is needed

Given :

The base of paper weight is 3 in  and height is 4 in

Lets find out the volume of the given paperweight

the base of pyramid is a square because the sides are equal

Volume of square pyramid =$\frac{1}{3} a^2h$

where 'a' is the side length and 'h' is the height

side length is 3 in

height is 4 in

Substitute the values  and find out volume

$V=\frac{1}{3} a^2h\\V=\frac{1}{3} (3)^2(4)\\V=12$

Volume of paperweight is 12 cubic inches

Now we find volume of 1000 paperweights

Volume of 1000 paperweights

$= 1000 * 12\\=12000$

To make 1000 paperweights 12000 $in^3$ of glass is needed

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