setup an equation or expression to model the situation below:
what is the volume of a box that can be created from a sheet of metal that measures 12 inches by 30 inches? assumer there is no top to the box.
To calculate the volume of the box, we need to determine the length, width, and height of the box. In this case, the length and width of the box will be equal to the dimensions of the sheet of metal, which are 12 inches and 30 inches.
Let's assume the height of the box is represented by 'h'.
Therefore, the equation to model the situation is:
Volume = Length × Width × Height
Or, V = 12 inches × 30 inches × h
As there is no top to the box, the volume of the box will be the same as the volume of the base, which is the product of the length and width. So, we can simplify the equation to:
V = 12 inches × 30 inches × h
= 360h cubic inches
Hence, the equation to model the situation is V = 360h, where V represents the volume of the box (in cubic inches), and h represents the height (in inches).