Question

The volume of the prism shown is 280 cubic units. The volume of the pyramid is 93 1/3 cubic units. Write the ratio of the volume the pyramid to the volume of the prism as a fraction

Answer 1

`\large\boxed{(V_2)/(V_1)=(1)/(3)}`

Explanation:

`\text{The volume of the prism:}\\\\V_1=280\ u^3\\\\\text{The volume of the pyramid:}\\\\V_2=93(1)/(3)\ u^3=(93\cdot3+1)/(3)\ u^3=(280)/(3)\ u^3\\\\\text{The ratio of the volume the pyramid to the volume of the prism}:\\\\(V_2)/(V_1)=((280)/(3))/(280)=(280)/(3)\cdot(1)/(280)=(1)/(3)`