Question

a rectangular box, the length is 4 times the width and height is 5 times the width. 

Determine the dimensions of the rectangular box if its volume is 160cm3.

 

Write down the answer in the following order: length, width, height.


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Answer 1

Answer:

GIVEN,

            l = 4w

           h = 5w

           v = 160cm³

            v = lwh = 4w × 5w × w = 20w³

            v = 160 = 20w³

             w³ = 8

              w = ∛8

              w = 2cm

∴ height = 5w = 10cm

  length = 4w = 8cm

  width = 2cm