Answer:
the surface area of the box is 80 square centimeters and the volume of the box is 48 cubic centimeters.
Explanation:
To calculate the surface area of the box, we need to find the area of all six faces and add them together. Using the given dimensions, we get:
1) Area of the top and bottom faces (both rectangles): (4 cm) x (2 cm) = 8 cm² each
2) Area of the four side faces (all squares): (6 cm) x (2 cm) = 12 cm² each
3) Total surface area: 2(8 cm²) + 4(12 cm²) = 32 cm² + 48 cm² = 80 cm²
To calculate the volume of the box, we multiply the length, width, and height of the box together. Using the given dimensions, we get:
Volume of the box: (4 cm) x (6 cm) x (2 cm) = 48 cm³
Therefore, the surface area of the box is 80 square centimeters and the volume of the box is 48 cubic centimeters.