Answer:
[tex]46 \frac{7}{8} \: cubic \: feet[/tex]
Step-by-step explanation:
[tex]\boxed{volume \: of \: prism = base \: area \: \times height}[/tex]
Base area= length ×width
Let's convert all the mixed numbers into improper fraction for easier calculation.
Width
= 7½
[tex] = \frac{7(2)}{2} + \frac{1}{2} [/tex]
[tex] = \frac{14}{2} + \frac{1}{2} [/tex]
[tex] = \frac{15}{2} ft[/tex]
Height
= 1¼
[tex] = \frac{4}{4} + \frac{1}{4} [/tex]
[tex] = \frac{5}{4} ft[/tex]
Volume of prism
[tex] = 5 \times \frac{15}{2} \times \frac{5}{4} [/tex]
[tex] = \frac{375}{8} [/tex]
[tex] = 46 \frac{7}{8} \: ft {}^{3} [/tex]
