A bundle of 500 sheets of copy paper has a width of 8.5 in., a length of 11 in., and a height of 2. An office worker stacks bundles of paper face-to-face, increasing the height of the stack...

Question

A bundle of 500 sheets of copy paper has a width of 8.5 in., a length of 11 in., and a height of 2. An office worker stacks bundles of paper face-to-face, increasing the height of the stack.

As the number of bundles stack approaches h, which statement is true?

A) The volume of h bundles of paper approaches

V=1/3(8.5)(11h)(2) because the length of the stack approaches 11h in.

B) The volume of h bundles of paper approaches

V=2(8.5)(11)(2h) + 2(11)(2h) because the height of the stack approaches 2h in.

C) The volume of h bundles of paper approaches

V=2(8.5)(11) + 2(8.5)(2h) + 2(11h)(2) because the height of the stack approaches 11h in.

D) The volume of h bundles of paper approaches V=(8.5)(11)(2h) because the height of the stack approaches 2h in.



Answer 1

The stack of paper packs forms a rectangular prism. The formula for the volume of a rectangular prism is:

V = (length) (width) (height)

The problem tells you the length and the width. The height depends on the number of packs of paper, h, each of which is 2 inches high. Can you finish it from here?