The volume of a rectangular prism is given by the formula V = lwh, where l is length, w is width, and h is height.
Given:
Area of base = 22 1/2 square inches
Height of each book = 3/4 inch
Since the base of the rectangular prism is a square (length = width = √(22 1/2) inches), the volume of one book is:
V_book = (22 1/2) * (3/4) = 67.5/8 = 8 5/8 cubic inches
The volume of 9 books stacked together is:
V_stack = 9 * V_book
V_stack = 9 * (8 5/8)
V_stack = 9 * 69/8
V_stack = 621/8 = 77 5/8 cubic inches
Therefore, the volume of a stack of 9 books is 77 5/8 cubic inches.
For this item, if the answer is not a whole number, enter it as a fraction in simplest form using / as the fraction bar.
Isolde is stacking books. The stack of books forms a rectangular prism.
Each book is the same size. Isolde knows the area of the base of one book is 22 1/2square inches and each book is 3/4 inch thick.
The volume of a stack of 9 books is
___ cubic inches.
1 answer
1 answer