An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume of the bedroom. Solve on paper. Then check your work on Zearn. The bedroom will be ft3.

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.