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Solnce55 [7]
3 years ago
11

Which of the following functions gives the length of the base edge, a(V), of a right square pyramid that is 8 inches tall as a f

unction of its volume, v, in cubic inches?
Mathematics
1 answer:
BARSIC [14]3 years ago
3 0

Answer:

s = √(3V/[8 in])

Step-by-step explanation:

Where are "the following functions" that were mentioned in this problem statement?  Please share them.  Thanks.

The volume of a right square pyramid is V = (1/3)(area of base)(height).  In more depth, V = (1/3)(s²)(h).  We want to solve this for s.

Multiplying both sides by 3 to eliminate the fractional coefficient, we get:

3V = s²(h), and so s² = 3V/h.

Taking the square root of this, we get:

s = √(3V/h).

Now let's substitute the given numerical value for the height:

s = √(3V/[8 in]).  We could also label this as a(V) as is done in the problem statement.

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