The expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.
We have:
We are given that the depth of the pool is = d feet
Width of the pool is 10 feet greater than five times it’s depth
Width of the pool = 10 + 5 d feet
length of the pool is 35 feet greater than five times its depth
Length of the pool = 35 + 5 d
We know that:
Volume = l b h
Volume = (d) × (10 + 5 d) × (35 + 5 d)
Volume = (10 d + 5 d²) (35 + 5 d)
Volume = 350 d + 175 d² + 50 d² + 25 d³
Volume = (25 d³ + 225 d² + 350 d) feet³
Therefore, we get that, the expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.
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