Answer:
135 cubic inches.
Step-by-step explanation:
Given : The ratio of the base edges of two similar pyramids is 3:4
The volume of the larger pyramid is 320 cubic inches.
To Find: What is the volume of the smaller pyramid?
Solution:
The ratio of the base edges of two similar pyramids is 3:4
The volume of the larger pyramid is 320 cubic inches.
The ratio of the volume of pyramids is equal to the ratio of the cubes of the sides of pyramids .
So, \(\frac{3^3}{4^3} =\frac{\text{Volume of smaller pyramid}}{320}\)
\(\frac{27}{64} =\frac{\text{Volume of smaller pyramid}}{320}\)
\(\frac{27}{64} \times 320 =\text{Volume of smaller pyramid}\)
\(135 =\text{Volume of smaller pyramid}\)
Thus the volume of smaller pyramid is 135 cubic inches.
