Question

What is the volume of the rectangular prism 3 1/2 in, 5 1/4 in, 4 in

Answer 1

The first thing we must do is convert the mixed fractions to integers, to finally add all the measurements and find the volume, since the exercise gives us the measurements of the rectangular prism such as its length, width and height.

To convert a mixed fraction to an integer, we must first multiply the integer by the denominator and add the result to the numerator

`\begin{gathered} 3\text{ }(1)/(2)=(7)/(2) \\ 5(1)/(4)\text{ }=(21)/(4) \\ V=a\mathrm{}b\mathrm{}h\text{ then} \\ (4)/(1);\text{ }we\text{ convert the integer to }a\text{ fraction }and\text{ now we multiply} \\ (4)/(1)*(7)/(2)*(21)/(4)=we\text{ multiply all the }numerators\text{ and }then\text{ } \\ \text{the denominators.} \\ (588)/(8)=we\text{ simplify; }we\text{ take square root;} \\ (294)/(4)=we\text{ divide numerator with denominator} \\ V=73.5p^3 \\ \end{gathered}`