Question

The ratio of the base edges of two similar pyramids is 3:4. The volume of the larger pyramid is 320 in3. What is the volume of the smaller pyramid?
240 in3
189 in3
135 in3
180 in3

Answer 1

Use similar volume to calculate
which is the (ratio of edges)^3 = (ration of volume)
so just put the numbers in, let the volume of smaller pyramid be y.
(3/4)^3 = y/320
27/64 = y/320
y=135in3

Answer 2

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 $\frac{3}{4}$, ratio of their volume will be = $(\frac{3}{4})^{3}$

Which clearly says that

$\frac{\text{Volume of smaller pyramid}}{\text{Volume of large pyramid}}=(\frac{3}{4})^{3}$

$\frac{\text{Volume of smaller pyramid}}{\text{Volume of large pyramid}}=\frac{27}{64}$

$\frac{\text{Volume of smaller pyramid}}{320}=\frac{27}{64}$

Volume of the smaller pyramid = $\frac{(320)(27)}{64}=135$

Therefore, volume of the smaller pyramid is 135 in³

Option C. 135 in³ is the correct answer.