Question:
Solution:
First of all, let's find the rational numbers that are equivalent to the mixed numbers in the figure:
[tex]1\frac{1}{2}\text{ = }\frac{(1\text{ x 2 )+1}}{2}\text{ = }\frac{2+1}{2}\text{ = }\frac{3}{2}[/tex]Now, the formula for the volume of a rectangular prism is:
[tex]V\text{ = L x W x H}[/tex]where L is length, W is width and H is the height of the prism. Thus replacing the given data into the volume formula, we get:
[tex]V\text{ = 2 x }\frac{3}{2}\text{ x }\frac{3}{2}\text{ = }\frac{2\text{ x 3 x 3 }}{4}\text{ = }\frac{18}{4}=\text{ }\frac{9}{2}\text{ = 4}\frac{1}{2}[/tex]then, the correct answer is:
[tex]V\text{ = 4}\frac{1}{2}[/tex]
