Question

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 function of its volume, v, in cubic inches?

Answer 1

s = √(3V/[8 in])

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.