Question

The height of a rectangular box is 2 times its length, and its width is 3ft more than its length. The volume of the box is 68ft3. Use the ALEKS graphing calculator to find the length of the box. Round your answer to two decimal places.

Answer 1

Explanation:

Given that the height of a rectangular box is 2 times its length, and its width is 3ft more than its length

Let us assume length = x then height = 2x and width = x+3

Now volume = lwh = x(x+3)(2x) = 68

Simplify to get

`2x^3+6x^2 -68 =0`

Using graphing calculator we find that x = 2.489

i.e. x= 2.49 ft after rounding off to two decimal places

Length = 2.49 ft.