Question

A wooden pyramid, 6 inches tall, has a square base. A carpenter increases the dimensions of the wooden pyramid by a factor of 3 and makes a larger pyramid with the new dimensions. Describe in complete sentences the ratio of the volumes of the two pyramids

Answer 1

\[V=\frac{1}{3}Bh\]
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Ratio
\[V_1=3V_2\]
\[\frac{1}{3}Bh_1=\cancel3(\frac{1}{\cancel3}Bh_2)\]
\[\frac{1}{3}\cancel Bh_1=\cancel Bh_2\]

Answer 2

\[\frac{1}{3}h_1=(6)\]
\[h_1=18\]

Answer 3

so what is the ratio of the two pyramids??

Answer 4

Lets say B=5
\[V_1:V_2\]
\[\frac{1}{3}(5)(6):\frac{1}{3}(5)(18)\]
10:30
1:3