Problema Solution

the volume of a rectangular box is 343ft3. if the width is 2 times longer than the height, and the length is 4 times longer than the height, find the dimensions of the box.

Answer provided by our tutors

Let

x = the height

2x = the width

4x = the length

V = 343 ft^3

Since the volume V = height*width*length we have:

x*2x*4x = 343

........

click here to see the equation solved for x

........

x = 3.5 ft

2x = 2*3.5 = 7 ft

4x = 3*3.5 = 14 ft

The dimensions of the box are: the height is 3.5 ft, the width is 7 ft and the length is 14 ft.