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.
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