Question

If the lateral area of a right rectangular prism is 384 cm^2, its length twice its width, and its height is twice its length, find the width of the prism

Answer 1

Width = w
Length = 2w
Height = 4w
$w \times 2w = 384 \\ {2w}^{2} = 384 \\ {w}^{2} = 192 \\ w = 13.86cm$
Width = 13.86cm

Hope this helps. - M