# math volume problem

Joan has a piece of construction paper 22in long by 16in wide. She cuts a 2in by 2in square from each conner. She then folds up the sides of the paper and forms a box with an open top. What is the volume of the box and how do you figure it?

### Comments for math volume problem

 Mar 11, 2011 Math Volume Problem by: Staff The question: Joan has a piece of construction paper 22in long by 16in wide. She cuts a 2in by 2in square from each conner. She then folds up the sides of the paper and forms a box with an open top. What is the volume of the box and how do you figure it? The answer: The volume of the open top box depends on its final dimensions. Volume = length * width * height Drawing a diagram is the easiest way to visualize the dimensions of the box. Step 1: Using a piece of graph paper, draw a diagram of the construction paper (22 inches by 16 inches) to scale. Click the link below to see a diagram of the construction paper. http://www.solving-math-problems.com/images/box-volume-01-blank-construction-paper.png Step 2: Mark two inch squares at each corner of the construction paper which is shown on the diagram. Click the link below to see a how the diagram should look. http://www.solving-math-problems.com/images/box-volume-02-mark-2-in-corner-squares.png Step 3: Erase the two inch squares at each corner of the diagram. Click the link below to see a how the diagram should look. http://www.solving-math-problems.com/images/box-volume-03-erase-2-in-corner-squares.png Step 4: Mark the fold lines on the diagram. Click the link below to see a how the diagram should look. http://www.solving-math-problems.com/images/box-volume-04-mark-fold-lines.png Step 5: At this point, cut the diagram out, and fold along the dotted lines to create the box. Click the link below to see what the box should look like. http://www.solving-math-problems.com/images/box-volume-05-final-box.png Computing the volume: The final dimensions of the box are: Length: 18 inches Width: 12 inches Height: 2 inches Volume of Box = length * width * height Volume of Box = (18 inches) * (12 inches) * (2 inches) Volume of Box = 432 cubic inches The final answer is: 432 cubic inches Thanks for writing. Staff www.solving-math-problems.com