rectangular prism surface area formula triangular prism

#Rectangular prism surface area formula triangular prism how to#

If all the edges of a rectangular prism are equal, then the surface area of the prism will be equal to 6 times the area of each face.A rectangular prism in which the faces are not perpendicular to each other is called an oblique rectangular prism.A rectangular prism with all sides equal is called a cube.Important Notes on Surface Area of Rectangular Prism: Step 3: Add the areas of all six faces to determine the total surface area of the box.Ģ(lb + bh + lh) = 2lb + 2bh + 2lh = 720 + 600 + 960 = 2280 inch 2. The area of the bottom and the top surfaces are equal, therefore we can simply twice the area of the top or bottom of the box.Ģlb = 2 × (24 × 15) = 2 × 360 = 720 inch 2 Step 1: Determine the area of the top and bottom faces of the box. It can be calculated by following the steps given below: Solution: In this case, we have to find the total surface area of the box.

#Rectangular prism surface area formula triangular prism how to#

Now we know the formula and method to calculate the surface area of a rectangular prism, let us now understand how to calculate it with the help of an example.Įxample: Determine the minimum area of the wrapping paper required to wrap a rectangular gift box with dimensions as given below: Step 4: Write the unit as square units along with the values thus obtained.Step 3: Implement the formula for lateral surface area 2h(l + b), or total surface area, 2 (lb + bh + lh).Step 2: Once the dimensions are in the same units, understand the need to calculate the lateral surface area or the total surface area according to the given situation.If not, convert them into the same units. Step 1: Check if the given dimensions of the rectangular prism are in the same units or not.The surface area of a rectangular prism can be calculated using the following steps: 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. What is Surface Area of a Rectangular Prism?