The length of a rectangular solid is 7. The width of the solid is 2 more than the height. The volume of the solid is 105. Find the width and the height of the solid.

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- Dec 7th 2008, 09:09 AMmagentaritaWidth and Height of Solid
**The length of a rectangular solid is 7. The width of the solid is 2 more than the height. The volume of the solid is 105. Find the width and the height of the solid.** - Dec 7th 2008, 09:33 AMMoo
Hello,

Let l, w, h be respectively the length, the width and the height of the solid.

We know that the volume of such a shape is defined as being : V=h*l*w

We know that w=2h ("the width is 2 more than the height)

So $\displaystyle 105=7*2h*h=14h^2$

Hence $\displaystyle h^2=\frac{105}{14}=\frac{15}{2}$

this is the height. Multiply by 2 to get the width - Dec 9th 2008, 08:51 PMmagentaritaok....