Question

An architect is designing a house.He wants the bedroom to have dimensions of 9ft by 4ft by 7ft. The architect doubles all three dimensions to create the den.Does that mean the den will have double the volume of the bedroom?​

Answer 1

No.

Doubling 1 Side = Doubling the volum of the bedroom.

Here is the explanation,

(9x2)x(4x2)x(7x2) = 2016

9 x 4 x 7 = 252

2016/252 = 8

if you double each dimension, the area will become 8 times bigger.