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