Question

The volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool

Answer 1

Answer:

$Height = x - 5$ --- one of the dimension

Step-by-step explanation:

Given

$Volume = 4x^3 - 20x^2 + 3x - 15$

Required

The side dimension

Factorize the given expression

$Volume = 4x^2 (x- 5) + 3(x - 5)$

Factor out x - 5

$Volume = (4x^2 + 3)(x - 5)$

Volume is the product of base area and height'

Hence:

$Area = 4x^2 + 3$

$Height = x - 5$