Question

The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find the height of the prism?

Answer 1

v = l x w x h

v = 2058

width = x

height = 2x

length = 3x

2058 = 3x*2x*x =

2058 = 6x^3=

343 = x^3

x = 7

2*7 = 14

3*7 = 21

21*14*7 = 2058

height is 14 cm