Brian is creating a collage on a piece of cardboard that has an area of 110r3 square centimeters. The collage is covered entirely by pieces of paper that do not overlap. Each piece has an area of square centimeters. Use the given information to determine an expression for the total number of pieces of paper used.

Question

Brian is creating a collage on a piece of cardboard that has an area of 110r3 square centimeters. The collage is covered entirely by pieces of paper that do not overlap. Each piece has an area of  square centimeters. Use the given information to determine an expression for the total number of pieces of paper used.

ganeshie8 · Answer

Each piece has an area of  square centimeter
somehting is missing at above line ?

ganeshie8 · Answer

also, area is it $$ 110r^3 $$
?

anonymous · Answer

yes an the part that is missing is in the picture

anonymous · Answer

????

ganeshie8 · Answer

$$ \frac{100r^3}{ \sqrt{r^5}}$$

ganeshie8 · Answer

thats the required expression. its just ration of "total area of card board" and "area of each paper piece"

you can simplify it further by pulling the r up.. 
have fun

anonymous · Answer

umm? ok

anonymous · Answer

You have an area of size 110r^3 square centimeters.
You have Y number of pieces that cover that area. Each piece is (sqrt(r^5)) square centimeters.

Basically you're stating that Y number of pieces of a particular size = the total area

So:
$$Y \sqrt{r ^{5}} = 110r ^{3}$$
$$Y = \frac{110r ^{3}}{\sqrt{r ^{5}}}$$

Simplify for R.