Formula of the Volume of this prism = Area of Base × Height of prism
Lets find the area of the base
=Base×Height
=2\(\frac{1}{6}\)×1\(\frac{1}{4}\)
=\(\frac{13}{6}\)×\(\frac{5}{4}\)
(Changing the mixed fraction to an improper fraction is helpful)
=\(\frac{65}{24}\) ft² = 2\(\frac{17}{24}\) ft²
Volume of the prism:
=Area of base × Height of prism
=2\(\frac{17}{24}\)×2\(\frac{2}{3}\)
(Change it to improper fraction again)
=\(\frac{65}{24}\)×\(\frac{8}{3}\)
=\(\frac{65}{9}\) ft³ = 7\(\frac{2}{9}\) ft³
The answer is D: 7\(\frac{2}{9}\) cubic feet
