Answer:
Option C. 135 in³
Step-by-step explanation:
Since volume is a three dimensional unit in which three dimensions of any object is multiplied.
If the sides of two similar pyramids are in the ratio of [tex]\frac{3}{4}[/tex], ratio of their volume will be = [tex](\frac{3}{4})^{3}[/tex]
Which clearly says that
[tex]\frac{\text{Volume of smaller pyramid}}{\text{Volume of large pyramid}}=(\frac{3}{4})^{3}[/tex]
[tex]\frac{\text{Volume of smaller pyramid}}{\text{Volume of large pyramid}}=\frac{27}{64}[/tex]
[tex]\frac{\text{Volume of smaller pyramid}}{320}=\frac{27}{64}[/tex]
Volume of the smaller pyramid = [tex]\frac{(320)(27)}{64}=135[/tex]
Therefore, volume of the smaller pyramid is 135 in³
Option C. 135 in³ is the correct answer.
