Which of the following best describes the solution to the equation below ( 8th grade math )

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Ответ:

matt851062

10.01.2022

Mathematics

h=94.87

Step-by-step explanation:

1. Volume of pyramid formula:

$v=\frac{1}{3}*a^{2}*h$

a=b*h Base Edge * Height of Pyramid

2. We have variables:

V = 480, Base Edge = 10, Height of Base = 16 (Inch)

3. Plug into formula + Rearrange:

$\frac{3V}{h} =(b*h)^{2} [b^{2} *h^{2} ]$

$\frac{3V*b^{2} }{h} =h^{2}$

$h^{2}=\frac{3*480*10^{2} }{16}$

$h=\sqrt{9000}$

h≅94.868

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