Question

13. The breadth, length and height of a cuboid are x cm,

2x cm and h cm respectively. The cuboid has a total
surface area of 88 cm².
(a) Show that h = 2/3 ((22-x²)/(x))
(b) Express the volume of the cuboid, V cm³, in
terms of x.
(c) Find the maximum volume of the cuboid

Answer 1

(a) Please refer to explanation (in part 1)

(b)
`V=(2)/(3)x(22-x^(2))`

(c)
`(176)/(9)\sqrt{(22)/(3)} \text{cm}^(3)`

Explanation:

The explanation is attached below.