Answer:
To find the height of the box, we need to use the formula for the volume of a rectangular prism:
Volume = length x width x height
We know the volume is 12.5 cm3 and the length and width of each card are 1.25 cm and 2.5 cm, respectively. Let's plug these values into the formula and solve for the height:
12.5 = 1.25 x 2.5 x height
Dividing both sides by 1.25 x 2.5 gives:
12.5 ÷ 1.25 ÷ 2.5 = height
Simplifying:
4 = height
Therefore, the height of the box of game cards is 4 cm.