Question

i have a piece of paper 22 in. long and 16 in. wide. i cut a 2 in. x 2 in. square from each corner. i then folds up the sides and forms a box with an open top. what is the volume of this box?

Answer 1

Since you cut a 2 in. x 2 in. square from each corner, you'll get a 2 in. height
The volume of the box will then be:
Vol = length x width x height
= 22 x 16 x 2
= 704 in^3
Note: the volume is the same for all cases, regardless of the condition of the lid (closed/open)

Answer 2

Since you cut a 2 in. x 2 in. square from each corner, you'll get a 2 in. height
Length now becomes = 22 - 4 = 18 in.
Width now becomes = 16 - 4 = 12 in.
The volume of the box will then be:
Vol = length x width x height
= 18 x 12 x 2
= 432 in^3
Note: the volume is the same for all cases, regardless of the condition of the lid (clos
ed/open)