How to Find the Surface Area of a Rectangular Prism? Solution: The total surface area of the rectangular prism is given by: 2(lb + bh + lh) = 2(8 × 5 + 5 × 7 + 8 × 7) = 2(40 + 35 + 56) = 2 × 131 = 262 inch 2.
Lateral surface area of a rectangular prism = 2(l + b) h square unitsĮxample: Determine the total surface area of a rectangular prism with the following dimensions: Length (l) = 8 inches Breadth (b) = 5 inches Height (h) = 7 inches. The formula to find the surface area of a rectangular prism is given as, the total area excluding the area of the bases. The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. Lateral Surface Area of a Rectangular Prism ☛Note: The unit of measurement of the area of the rectangular prism is square units. Total surface area of a rectangular prism = 2(lb + bh + lh) square units The total surface area of a rectangular prism can be calculated by finding the total area of all six faces. A rectangular prism can have two types of areas: To calculate the surface area of a rectangular prism, we need to simply find the sum of the areas of the faces of the prism. Surface Area of Rectangular Prism Formula Let us see the basic formulas to calculate the total surface area and lateral surface area of a rectangular prism in the next section. In the right rectangular prism, bases are perpendicular to each other whereas, in an oblique rectangular prism, the bases are not aligned one above the other. This total area of the six surfaces is called the surface area of a rectangular prism.Ī rectangular prism can be classified as a right rectangular prism or an oblique rectangular prism. First, you will need to know the sum of the areas of the six surfaces of the box (four lateral side surfaces, top surface, and bottom surface). You need to calculate the amount of wrapping paper that will be needed to cover it. For example, we can relate the surface area of a rectangular prism with the surfaces of the objects given below: a book, a cuboid-shaped aquarium, a box, etc.įor example, let's say there is a box that needs to be gift-wrapped. Therefore, both the bases of a rectangular prism must also be rectangles. It has six faces, and all the faces are rectangular shaped. A rectangular prism is a three-dimensional shape. The total region or area covered by all the faces of a rectangular prism is defined as the surface area of a rectangular prism. Surface area of a rectangular prism formulaįinding surface area for all rectangular prisms (including cubes) involves both addition and multiplication.What is Surface Area of a Rectangular Prism? The surface area of a rectangular prism is the total area of all six faces. When you have a cube, finding the area of one face allows you to find the total surface area of the solid very quickly, since it will be six times the area of one face.įinding the surface area of all rectangular prisms allows you to also find the surface area of any cube, since a cube is a type of rectangular prism. What is the surface area of a rectangular prism? Opposite faces are congruent.Ī special type of rectangular prism is a cube, in which all six faces are congruent.
All six faces meet at right angles to one another. Find the surface area of a rectangular prismĪ rectangular prism is a six-faced, three-dimensional solid in which all the faces are rectangles.
0 kommentar(er)
