Determine the area of the largest rectangle of the prism. square centimeters6cm 7cm 7cm 4cm 12cm

To find the area of the largest rectangle of the prism, we need to identify the dimensions of the base of the prism that will result in the greatest area.

The largest rectangle will have a base formed by the two longest sides of the prism (7cm and 12cm) and a height corresponding to the shortest side of the prism (4cm).

Therefore, the area of the largest rectangle of the prism is:
Area = length x width
Area = 12cm x 7cm
Area = 84 square centimeters

Therefore, the area of the largest rectangle of the prism is 84 square centimeters.