Final answer:
The formula S=2ab+2bc+2ac is for calculating the surface area of a D) Rectangular prism, as it represents the sum of the areas of all the faces of a three-dimensional shape with edges 'a', 'b', and 'c'.
Step-by-step explanation:
The formula S=2ab+2bc+2ac is used for calculating the surface area of a three-dimensional shape. When evaluating this formula, it is clear that it represents the sum of the areas of each face of the shape. Each term 2ab, 2bc, and 2ac represents the areas of pairs of opposite faces of a three-dimensional object. By analyzing the formula and the structure of a Rectangular prism, one can see that 'a', 'b', and 'c' would represent the lengths of the edges of the prism, and each product (ab, bc, ac) represents the area of one face. Therefore, the formula represents the total surface area of all the faces of a rectangular prism, making the correct answer D) Rectangular prism.
The formula S=2ab+2bc+2ac is for the surface area of a rectangular prism.
For a rectangular prism, the surface area is given by adding the areas of all its faces. In this formula, a, b, and c represent the lengths of the sides of the prism.
For example, if a=3, b=4, and c=5, the surface area would be S=2(3)(4)+2(4)(5)+2(3)(5)=94 square units.