URGENT - SAC HELP!

[Yacoubb]

Help with this question please:

A cuboid of a rectangular prism has a length of 4x m, a width of x m and a height of h m. The cuboid is made up of 640 m of wire.

a) Find h in terms of x
b) Find the volume, Vm³, of the cuboid in terms of x
 
These two questions are screwing with my brain and at the moment I'm cramming for this Methods 1+2 SAC.

Thanks for your help!

[b^3]

Hint:
a) What will the perimeter of the wires that make up the shape be? (2 lengths of , 2 lengths of and two lengths of ). You know that they will add up to 640, so you can rearrange the equation for in terms of .
b) V=lwh, substitute the expressions in, and for use the expression you found in a.

[Yacoubb]

Hint:
a) What will the perimeter of the wires that make up the shape be? (2 lengths of , 2 lengths of and two lengths of ). You know that they will add up to 640, so you can rearrange the equation for in terms of .
b) V=lwh, substitute the expressions in, and for use the expression you found in a.

Thanks so much! Got it, so (1.) Find the perimeter as you are given the overall wire and (2.) make h the subject + simplify.

Then go 4x * x * h = V, and substitute the value of h found in the previous equation. Honestly you just saved me life!

[Yacoubb]

One more question:

A possible sequence of transformations which transforms the graph of y = x³ to the graph of y = x³ + 3x²+ 3x + 7??

[b^3]

We can factorise into turning point form.

Now see if you can work out the transformations (in this case translations) that will take to . (Remember, an shift to the right will be in the equation, and a shift upwards will be a positive constant in the equation).