Question

the height of the rectangular box is 4 times its width, and its length is 2 in more than its width. the volume of the box is 60in^3

Answer 1

Explanation:

height= 4b

length = 2 + b

volume = 60in³

or, l ×b × h = 60in³

or, (2+b) × b × 4b = 60in³

or, 4b²(2+b) = 60in³

or, 8b² + 4b³ = 60

or, 2b² + b³ = 15

or, b³ + 2b² -15= 0

b= 1.95

l= 2+1.95=3.95

h= 4×1.95 = 7.8