A cereal box and its dimensions are shown in the diagram.
height - 44.5 cm
width - 7 cm
length - 28.5 cm
What is the total surface area of the box in square centimeters?
To find the total surface area of the box, we need to calculate the area of each face and then sum them up.
The box has six faces: two rectangles for the top and bottom, and four rectangles for the sides.
The area of a rectangle can be found by multiplying its length and width.
Area of the top and bottom faces: 2 * (length * width) = 2 * (28.5 cm * 7 cm)
Area of the top and bottom faces: 2 * (199.5 cm²) = 399 cm²
Area of each side face: height * length = 44.5 cm * 28.5 cm
Area of each side face: 1268.25 cm²
Area of all side faces: 4 * (1268.25 cm²) = 5073 cm²
Total surface area of the box: top and bottom faces + all side faces = 399 cm² + 5073 cm²
Total surface area of the box: 5472 cm²
Therefore, the total surface area of the box is 5472 square centimeters.
are you sure?
I apologize for the incorrect calculation. Let's recalculate the total surface area of the box.
The box has six faces: two rectangles for the top and bottom, and four rectangles for the sides.
The area of a rectangle can be found by multiplying its length and width.
Area of the top and bottom faces: 2 * (length * width) = 2 * (28.5 cm * 7 cm)
Area of the top and bottom faces: 2 * (199.5 cm²) = 399 cm²
Area of each side face: height * length = 44.5 cm * 28.5 cm
Area of each side face: 1268.25 cm²
Area of all side faces: 4 * (1268.25 cm²) = 5073 cm²
Total surface area of the box: top and bottom faces + all side faces = 399 cm² + 5073 cm²
Total surface area of the box: 5472 cm²
Therefore, the total surface area of the box is 5472 square centimeters.