Final answer:
To find the possible length and width of the box, we need to use the formula for the volume of a rectangular prism: V = lwh. Given that the volume is 132 cubic centimeters and the height is 11 centimeters, we can rearrange the formula to solve for the length and width. The possible lengths and widths of the box are 1 cm x 12 cm, 2 cm x 6 cm, and 3 cm x 4 cm.
Step-by-step explanation:
To find the possible length and width of the box, we need to use the formula for the volume of a rectangular prism: V = lwh. Given that the volume is 132 cubic centimeters and the height is 11 centimeters, we can rearrange the formula to solve for the length and width. Let's assume the length is L and the width is W:
132 = L * W * 11
Divide both sides of the equation by 11:
L * W = 12
Now we need to determine the possible combinations of length and width that multiply to 12. Some examples are:
L = 1 cm, W = 12 cm
L = 2 cm, W = 6 cm
L = 3 cm, W = 4 cm
So, there are multiple possible lengths and widths for the box, such as 1 cm x 12 cm, 2 cm x 6 cm, and 3 cm x 4 cm.