Question

6. The net for a box of Tic Tacs is represented below. The surface area of the box is square centimeters and the volume of the box is cubic centimeters. Show your work. Formulas: 4 cm 6 cm 2 cm 2 cm​

Answer 1

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.