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

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Answer:

[tex]\large\boxed{\dfrac{V_2}{V_1}=\dfrac{1}{3}}[/tex]

Step-by-step explanation:

[tex]\text{The volume of the prism:}\\\\V_1=280\ u^3\\\\\text{The volume of the pyramid:}\\\\V_2=93\dfrac{1}{3}\ u^3=\dfrac{93\cdot3+1}{3}\ u^3=\dfrac{280}{3}\ u^3\\\\\text{The ratio of the volume the pyramid to the volume of the prism}:\\\\\dfrac{V_2}{V_1}=\dfrac{\frac{280}{3}}{280}=\dfrac{280}{3}\cdot\dfrac{1}{280}=\dfrac{1}{3}[/tex]