Answer:
No. The den will have 8 times the volume of the bedroom.
Step-by-step explanation:
The architect wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. Let's find the volume of the bedroom:
8 * 4 * 7 = 224 cubic feet
The architect doubles all three dimensions to create the den. This means that the den has dimensions as 16 ft by 8 ft by 14 ft.
The volume of the den is:
16 * 8 * 14 = 1792 cubic feet
Double of 224 cubic feet is 448 cubic feet.
Hence, the den will not have double the volume of the bedroom instead it will have a volume 8 times the that of the bedroom.
