Final answer:
The amount of cardboard needed to create a box with a height of 4cm, length of 5cm, and a width of 2.5cm is calculated by finding the surface area of the box. The surface area is calculated as 2lw + 2lh + 2wh, and plugging in the given values gives a total of 110 cm^2 of cardboard needed.
Step-by-step explanation:
To find the amount of cardboard needed to create the box, we need to calculate the surface area of the box. The formula for the surface area of a rectangular box is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
In this problem, the length (l) is 5cm, the width (w) is 2.5cm, and the height (h) is 4cm. Plugging these values into the formula gives us 2(5*2.5) + 2(5*4) + 2(2.5*4), which equals 50 + 40 + 20, a total of 110 cm2. That is the total surface area, or the total amount of cardboard, needed to construct the box.
Learn more about Surface Area