Answered

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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?

Sagot :

okpalawalter8

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]

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