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
