Answer:
[tex]v=262.5[/tex] or [tex]v=262\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]volume=l*w*h[/tex]
Insert values into the formula for volume
[tex]v=3*14*6\frac{1}{4}[/tex]
Turn [tex]6\frac{1}{4}[/tex] into a mixed fraction by using the rule:
[tex]a\frac{b}{c} =\frac{ac+b}{c}[/tex]
[tex]6\frac{1}{4}=\frac{6*4+1}{4}=\frac{25}{4}[/tex]
Simplify the equation
[tex]v=\frac{3}{1} *\frac{14}{1} *\frac{25}{4}[/tex]
[tex]v=\frac{3*14*25}{4}[/tex]
Simplify multiplication
[tex]v=\frac{42*25}{4}\\\\v=\frac{1050}{4} \\\\v=\frac{525}{2} \\\\v=262 \frac{1}{2}[/tex]
Done.
