To find the surface area of a cube, we need to find the area of each of the six faces and sum them together.
Since all faces of a cube have the same side length, we only need to find the area of one face and then multiply it by 6 to account for all six faces.
In the unfolded cardboard box, we can see that the top and bottom faces are squares with side length 4 cm. The front and back faces are rectangles with dimensions 4 cm by 6 cm. The left and right faces are also rectangles with dimensions 4 cm by 6 cm.
The area of each square face is 4 cm * 4 cm = <<4*4=16>>16 square centimeters.
The area of each rectangular face is 4 cm * 6 cm = <<4*6=24>>24 square centimeters.
Adding up the areas of all six faces: (16 square cm) + (16 square cm) + (24 square cm) + (24 square cm) + (24 square cm) + (24 square cm) = 128 square centimeters.
Therefore, the surface area of the cardboard box is 128 square centimeters.
Jesse unfolded a cube-shaped cardboard box, as shown below.
What is the surface area, in square centimeters, of the cardboard box?
1 answer