if the area of a base of a rectangular solid is tripled, what is the percent increase in the volume?

Question

anonymous · Answer

V=area of a base *h  => V=3area of base*h

anonymous · Answer

Can you simplify it a bit more? The answer is supposed to be 200%. But i am getting 300%

anonymous · Answer

Let x be the area of the base in a rectangular solid.
$$V_{100percent}=x\times h$$ 

$$\large V_{?}=3x\times h$$
Cross multiply.
$$?=\frac{300(x \times h)}{x\times h}$$
$$?=300percent$$
300 percent - 100 percent=?

anonymous · Answer

The question is asking for the percent "increase" of the volume.

campbell_st · Answer

ok... use an example to solve the problem 


a rectangular prism, base area = 1 cm^2 

ahd height of 1 cm 

V = 1 x 1 

V = 1cm^3

so now triple the area 

A = 3cm^2

same height

V = 3 x 1

V = 3cm^3

so the volume when the base area is tripled is 3 times as large.. the volume is alos 3 times as large

so the volume has increase 2cm^3

to the percentage increase is 

increase/original x 100

or Percentage Increase = 2/1 x 100
                                  = 200%