Question

a rectangular solid has a length of 3 times, the width and the height twice it's width. if, the volume of a rectangular solid is 384 cube inches. determine the dimension of the rectangular solid​

Answer 1

Answer:

let width:x

length is three times of width : 3x

height is twice the width: 2x

volume : 384

so,

L*B*H = 384

x + 3x + 2x = 384

6x = 384

x= 384/6

x=64

Answer 2

Let the width be x
Length = 3 times width = 3x
Height = Twice width = 2x
Volume of rectangle = 384 cube inches
Volume = l*b*h
384 = 3x * x * 2x
384= ( 6x )whole cube
384/6 = x cube
64 = x cube
Root 64 = x
4 = x
:. Length = 3x= 3*4 = 12
Breadth = x = 4
Height = 2x = 2*4 = 8