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# The solids are similar. Find the volume V of the red solid.

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The solids are similar. Find the volume V of the red solid.

Mar 10, 2021

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The height of the blue pyramid is: $$\frac{5292 \cdot 3}{21^2} = \frac{15876}{441} = 36$$

$$\frac{21}{7} = 3$$ which means the height of the red pyramid is just $$36\div 3 = 12$$

This means the area of the red pyramid is:
$$\frac{1}{3} \cdot 7^2 \cdot 12 = 4 \cdot 49 = 196$$