Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

To calculate the total surface area of a cupboard, we need to add up the areas of all six faces. The cupboard measures 12cm by 10cm by 8cm, which means that it has a rectangular prism shape. The rectangular prism has two identical pairs of faces, so we can calculate the total surface area by finding the area of one pair and multiplying by 2, and then adding the area of the remaining pair. We also need to add the area of the top and bottom faces. The area of one face of the rectangular prism is given by the formula: length x width So the area of one pair of faces is: 2 x (12cm x 10cm) = 240cm² The area of the remaining pair of faces is: 2 x (10cm x 8cm) = 160cm² Finally, we need to add the area of the top and bottom faces, which are both rectangles with dimensions 12cm x 8cm: 2 x (12cm x 8cm) = 192cm² Adding up all the areas, we get: 240cm² + 160cm² + 192cm² = 592cm² Therefore, the total surface area of the cupboard is 592cm².