A ream of papers of 500 sheets forms a rectangular prism 11 in. by 8.5 in. by 2 in. What is the volume of one sheet of paper?
volume of block of paper
= (11)(8.5)(2) in^3
= 187 in^3
so volume of 1 sheet
= 187/500 or .374 inches^3
To find the volume of one sheet of paper, we need to first find the volume of the rectangular prism formed by the ream of papers. The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Given that the dimensions of the rectangular prism are:
length = 11 in.
width = 8.5 in.
height = 2 in.
Substituting the values into the formula, we can calculate the volume of the rectangular prism:
Volume = 11 in. x 8.5 in. x 2 in.
Volume = 187 in³
Since there are 500 sheets in a ream of papers, the volume of one sheet can be found by dividing the volume of the rectangular prism by the number of sheets:
Volume of one sheet = Volume of rectangular prism / Number of sheets
Volume of one sheet = 187 in³ / 500
Volume of one sheet = 0.374 in³
Therefore, the volume of one sheet of paper is 0.374 cubic inches.
To find the volume of one sheet of paper, we need to first calculate the volume of the rectangular prism formed by the ream of papers.
The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length is 11 inches, the width is 8.5 inches, and the height is 2 inches.
To find the volume, we multiply these three dimensions:
Volume of rectangular prism = Length x Width x Height
= 11 in x 8.5 in x 2 in
= 187 in³
Now, since the rectangular prism is formed by 500 sheets of paper, we can divide the total volume by the number of sheets to find the volume of one sheet.
Volume of one sheet = (Volume of rectangular prism) / (Number of sheets)
= 187 in³ / 500 sheets
= 0.374 in³
Therefore, the volume of one sheet of paper is 0.374 cubic inches.