base = 4 in x 8 in

height = 2.25 in
what is the surface area of the box?

1 answer

First, calculate the area of the two rectangles that make up the sides of the box:

Area of one rectangle = base x height
Area of one rectangle = 4 in x 2.25 in = 9 in²

Now, since there are two rectangles for the sides of the box, we need to calculate the total area by multiplying by 2:

Total area of the two rectangles = 2 x 9 in² = 18 in²

Next, calculate the area of the rectangle that forms the top of the box:

Area of the top rectangle = base x base
Area of the top rectangle = 4 in x 4 in = 16 in²

Now, add up the areas of the sides and the top to find the total surface area of the box:

Total surface area = Area of the sides + Area of the top
Total surface area = 18 in² + 16 in² = 34 in²

Therefore, the surface area of the box is 34 square inches.