A piece of paper is #8.1 times 10^-5# m thick. Approximately how many pieces of paper are required to make a stack two metres high?

Question

Eli Assouline · Accepted Answer

undefined To find out how many pieces of paper are required to make a stack two meters high, we first need to convert the thickness of one piece of paper from meters to centimeters, as the height is given in meters.

8.1 times 10^-5 meters is equal to 8.1 times 10^-3 centimeters.

Then, we divide the height of the stack (200 cm) by the thickness of one piece of paper (8.1 times 10^-3 cm) to find the number of pieces needed.

200 cm / (8.1 times 10^-3 cm) ≈ 24,691.358 pieces of paper.

Rounded to the nearest whole number, approximately 24,691 pieces of paper are required to make a stack two meters high.

Abigail Allen · Answer

It would take approximately 24,691 pieces of this paper to get a stack 2 metres high.

Let's call the number of pieces of paper we are looking for #p#. We then can write our problem as: #p * (8.1 xx 10^-5m) = 2m# #(p * (8.1 xx 10^-5m))/(8.1 xx 10^-5m) = (2m)/(8.1 xx 10^-5m)# #p = (2m)/(8.1 xx 10^-5m)# #p = (2m xx 10^5)/(8.1m)# #p = (0.246913 xx 10^5)# #p = 24691#