Tim has a rectangular prism with a length of 10 centimeters, a width of 2 centimeters, and an unknown height. he needs to build another rectangular prism with a length of 5 centimeters and the same height as the original prism. the volume of the two prisms will be the same. find the width, in centimeters, of the new prism.

The volume of the original prism is given by:

V1 = (10) * (2) * (h)

rewriting:

V1 = 20h

Where,

h: height

The volume of the second prism is given by:

V2 = (5) * (w) * (h)

We know that the height is the same.

As the volume is the same then:

(5) * (w) * (h) = 20h

Clearing w we have:

w = (20/5) = 4 cm

Answer:

The width, in centimeters, of the new prism is:

w = 4cm