Answer:
Max vol = 2 cubic metres
Step-by-step explanation:
Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.
Side of the square = 3m
If squares are to be cut from the corners of the cardboard we have the dimensions of the box as
3-2x, 3-2x and x.
Hence x can never be greater than or equal to 1.5
V(x) = Volume = 
We use derivative test to find the maxima

Equate I derivative to 0

If x= 3/2 box will have 0 volume
So this is ignored
V"(1/2) <0
So maximum when x =1/2
Maximum volume
=
cubic metres
Given:
Product of two numbers is 24
Sum of two numbers is -11
-8 and -3 are the two numbers.
The height is around 4.77 mm
Answer:
18
Step-by-step explanation:
perimeter of the base = 4+4+5+5=18
the first box will make up the base of the prism
and perimeter is the sum of the sides of the shape