Question

Square pyramid A and square pyramid B are similar. Their respective heights are 6 and 15 inches. The volume of pyramid B is 312.5 cubic inches. What is the volume of pyramid A?

Answer 1

Answer:

$V_a=125 cubic\ inches$

Step-by-step explanation:

From the question we are told that:

Height of pyramid A $h_a=6$

Height of pyramid B $h_b=6$

The volume of pyramid B  $V_b= 312.5 cubic inches.$

 

Generally the equation for volume for pyramid A is mathematically given by

Since they are similar

 $\frac{l_a}{l_b}=\frac{V_a}{V_b}\\\\\frac{6}{15}=\frac{V_a}{312.5}\\\\V_a=\frac{6}{15}*312.5$

 $V_a=125 cubic\ inches$