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k0ka [10]
2 years ago
9

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?
Mathematics
1 answer:
VikaD [51]2 years ago
3 0

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

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