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3 years ago

7

A swimming pool is a shape of a rectangular prism. The pool is 10 feet deep. It length is 3 times it's width. The volume of the

pool is 27000 cubic feet. Find the length and the width of the pool.

1 answer:

Lady_Fox [76]3 years ago

6 0

Answer:

Step-by-step explanation:

V = l * w * h

27000ft3 = (2w) * w * 10ft

27000ft3 = 2w^2 * 10ft

2700 = 2w^2

1350 = w^2

W = 36.74

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Step-by-step explanation:

<u>Logarithms</u>

There are certain properties of the logarithms we'll need to recall in order to simplify the expression given in the question. We'll list them below

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We'll also need to factor the following numbers into their prime factors:

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Plugging in the factored values

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Applying the properties we have

$\displaystyle E=log2^2+log 5+16(log2^4-log3-log 5)+12(log5^2-log2^3-log 3)+log3^4-log2^4-log 5$

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Simplifying

$\boxed{\displaystyle E=26log2-24log3+8log 5}$

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Step-by-step explanation:

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