Originally Posted by

**krinkle** "A container built to hold statures is based on a rectangular cuboid"

The volume in cubic meters is given by the formula V=x^3 + 6x^2 + 8x

a) Show that the sides have lengths x,x+2 and x+4 meters.

factor x^3 + 6x^2 + 8x

b)An expresssion for the surface area of the container is 6x^2 + 24x +16

If the surface are of the container is 142m^2, what is the volume?

solve the quadratic equation 6x^2 + 24x + 16 = 142 for x ... then substitute the solution that makes sense in the context of the problem into the expression for V.

Last one:

"A rectangular garden has a perimeter of 22m and an area of 21.84m^2. The width of the garden is x meters and the length is y meters.

a) Write two equations for this situation in terms of x and y

2(x+y) = 22

xy = 21.84

b) Solve the equations simultaneously and state the dimensions of the garden

do it.