# Surface area of a rectangular box with square base formula

, Find the surface area and volume of a rectangular prism with length of 10 inches, width of 4 inches, and height of 3 inches., Find the surface area and volume for a rectangular solid with length of 5 meters, width of 5 meters and height of 3 meters., Find the surface area and volume of a rectangular solid with length of 2 feet, width of 3 feet, and height of 6 feet., What is the volume of a ...

The surface area of the box is 448 square inches so that is the least amount of paper needed to cover the box. A gift box is the shape of a rectangular prism measures 8 inches by 8 inches by 10 inches. About "Surface area of pyramid with rectangular base" Surface area of pyramid with rectangular base : Pyramid is basically a 3D shape. Even though we have formulas to find surface area of pyramid with rectangular base, the basic idea of finding surface is to add the areas of all the faces.

The surface area of a rectangular box with a square base is 54 square inches, and is given by: A = 2x^2 + 4xh 2x^2 + 4xh = 54: Find x when h = 3 inches. 2x^2 + 4x(3) = 54 2x^2 + 12x - 54 = 0 Simplify divide by 2 x^2 + 6x - 27 = 0 Factors to (x+9)(x-3) = 0 Positive solution x = 3:: Check this, find the surface area with x=3,h=3 A = 2(3^2) + 4*3*(3) A = 2(9) + 36 Oct 21, 2016 · Let l be the length of the square base and h be the height. Then the surface area, S.A, is given by: S.A = l^2 + 2lh + 2lh = 27 l^2 + 4lh = 27 Solve for one of the variables. 4lh = 27 - l^2 h = (27 - l^2)/(4l) The formula for volume of the box is V = l xx l xx h. The surface area $S$ of the rectangular solid shown above is $52$ 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). Aug 11, 2012 · How to find the Surface Area of a Rectangular Prism - Duration: 3:53. CruzLJ1 790,470 views. 3:53. ... How to minimize the surface area of a box - Duration: 7:17. Engineer4Free 5,385 views. 7:17.

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.