Question

the volume of a box is 10,000cm^3. The base of the box is 25 cm and 10 cm. How tall is the box?

Answer 1

Answer:

h(height)= 40cm

Step-by-step explanation:

V= h x w x l

(10000)= h x (25) (10)

h= (10000)/ ((25) (10))

h= (10000)/ ((250))  

h=40

You can verify if this is right by working the problem backwards.

V= (25) (10) (40)

V= 10, 000 cm^3

Answer 2

Answer:

h = 40 cm

Step-by-step explanation:

the formula for the volume of a rectangular box of width w, height h and depth d is V = w·h·d (the order in which you write these doesn't matter).

We want to find out how tall this box is.  Thus, we solve V = w·h·d for h:

            V

h = -------------

          w·d

Here, h = vertical measurement of box = ( 10000 cm³) / [ (25 cm)(10 cm) ], or

h = 40 cm