A jewelry box has the shape of a rectangular prism. Find the volume of the jewelry box. If the height is increased by 3 in., by how much does the volume increase?
8 1/4 x 5 1/2 x 7 1/2
To find the volume of the jewelry box, multiply the length, width, and height:
Volume = length x width x height
Volume = 8.25 in x 5.5 in x 7.5 in
Volume = 294.85 cubic inches
Now, if the height is increased by 3 inches, the new height would be 7.5 in + 3 in = 10.5 in.
To find the new volume, multiply the length, width, and new height:
Volume = 8.25 in x 5.5 in x 10.5 in
Volume = 484.41 cubic inches
The increase in volume would be:
484.41 cubic inches - 294.85 cubic inches = 189.56 cubic inches
Therefore, the volume would increase by 189.56 cubic inches if the height is increased by 3 inches.