The surface area of a rectangular prism is 208 cm². Two of the dimensions are 2 cm and 10 cm. Find the measure of the other dimensions.

The surface area, SA, of a rectangular prism is given by the formula:

SA = 2ab + 2bc + 2ac,

where, a, b, and c are lengths of the 3 sides of the rectangular prism

For this problem, the surface area of the rectangular prism was given to be 208 cm². The two sides given can be assigned the variables, a = 2 cm and b = 10 cm. This leaves us with one side, c, as the unknown dimension. The resulting equation is as follows:

208 cm² = 2 (2 cm) (10 cm) + 2 (10 cm) (c) + 2 (2 cm) (c)

c = 7 cm