Answer:
<h2><em>
3.4928.</em></h2>
Step-by-step explanation:
Initial volume of the rectangular room = Length * Width * Height
V = LWH .............1
If the width is doubled then new width W2 = 2W
If the length is increased by 48%, the new Length L2 = L + 0.48L = 1.48L
If the height is increased by 18%, the new height H2 = H + 0.18H = 1.18H
The new volume after increasing all the dimensions will be;
V2 = L2W2H2
V2 = (1.48L)(2W)(1.18H)
V2 = 3.4928LWH ................2
Now we will divide equation 2 by 1 to have;
V2/V = 3.4928LWH/LWH
V2/V = 3.4928
V2 = 3.4928V
<em>This means that the volume of the room has increased by the factor of 3.4928.</em>