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 inch

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?

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Hưng Khoa 4 years 2021-08-12T16:06:34+00:00 1 Answers 6 views 0

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  1. Bo
    0
    2021-08-12T16:08:22+00:00
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    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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