Mar 13, 2018 · Rectangular Bases. Some rectangular solids and pyramids have rectangular bases. The area of a rectangle is equal to its length, l, multiplied by its width, w: A = l x w. Given a pyramid whose base is 10 inches long and 15 inches wide, find area as follows: A = 10 inches x 15 inches = 150 square inches. The terms "rectangular prism" and "oblong prism", however, are ambiguous, since they do not specify all angles. The square cuboid, square box, or right square prism (also ambiguously called square prism) is a special case of the cuboid in which at least two faces are squares. The surface area formula for a rectangular box is 2 x (height x width + width x length + height x length), as seen in the figure below: Since a rectangular box or tank has opposite sides which are equal, we calculate each unique side's area, then add them up together, and finally multiply by two to get the total surface area. Lateral surface, right prism, right regular pyramid, frustum of a cone or pyramid, torus, surface area of a surface of revolution this page updated 19-jul-17 Mathwords: Terms and Formulas from Algebra I to Calculus The surface area [latex]S[/latex] of the rectangular solid shown above is [latex]52[/latex] square units. In general, to find the surface area of a rectangular solid, remember that each face is a rectangle, so its area is the product of its length and its width (see the image below). The surface area of a square based box is A=2x 2 +4xy, its volume is V=x 2 y, where x is length of the 4 sides of the base and y is the height. If the surface area of a squarebased box is 180cm 2. Find a formula for the volume of that box, V(x).