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# Maths question - grade a !!!!!!!!!1

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1. A box in the shape of a cuboid has a height of x cm. The length is double the height. The width of the box is 2cm more than the height. The volume of the box is 400cm^3

Show that x^3+2x^2=200cm^3

ok for some reason I only manage to get down to x^3+2=200cm^3 or even x^3+4x^2=200cm^3 so someone please shed some light lmao im not thinking straight
2. The cuboid has height x.

The length is 2x.

The width is (x+2)

Therefore, the volume = x(2x)(x+2) = (2x^2)(x+2) = 2x^3 + 4x^2.

We know the volume to be 400cm^3, so 2x^3 + 4x^2 = 400.

Divide everything by 2, and x^3 + 2x^2 = 200cm^3.

3. Hope this helps!
4. (Original post by barney_rs)
the cuboid has height x.

The length is 2x.

The width is (x+2)

therefore, the volume = x(2x)(x+2) = (2x^2)(x+2) = 2x^3 + 4x^2.

We know the volume to be 400cm^3, so 2x^3 + 4x^2 = 400.

Divide everything by 2, and x^3 + 2x^2 = 200cm^3.
omg thank you so much i got there in the end after 10 minutes thank you
5. Height = x
Length = 2x
Width = x + 2

Volume = x(x+2)*2x
= (x^2+2x)*(2x)
= 2x^3+4x^2

Hence 2x^3+4x^2=400cm^3 - Here you want to divide EVERYTHING in the equation by two hence giving you the answer the question wants. Hope this helps! x^3+2x^2=200cm^3
6. (Original post by danielwinstanley)
height = x
length = 2x
width = x + 2

volume = x(x+2)*2x
= (x^2+2x)*(2x)
= 2x^3+4x^2

hence 2x^3+4x^2=400cm^3 - here you want to divide everything in the equation by two hence giving you the answer the question wants. Hope this helps! X^3+2x^2=200cm^3
thank you sm
7. Lol You clearly forget to press shift on the last 1 in the title

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