Answer:
[tex]V_a=125 cubic\ inches[/tex]
Step-by-step explanation:
From the question we are told that:
Height of pyramid A [tex]h_a=6[/tex]
Height of pyramid B [tex]h_b=6[/tex]
The volume of pyramid B [tex]V_b= 312.5 cubic inches.[/tex]
Generally the equation for volume for pyramid A is mathematically given by
Since they are similar
[tex]\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[/tex]
[tex]V_a=125 cubic\ inches[/tex]
