The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width

Question

snow_tiger [21]

4 years ago

12

The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width

. Find the width of the prism.

Mathematics

1 answer:

liraira [26] · Answer 1 · 2021-11-30T05:31:46+03:00

liraira [26]4 years ago

8 0

Let the width be w, length = 3w and height = 2w

Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7

width = 7 cm