![]() ![]() The diagonal of a right rectangular prism is the square root of the sum of the squares of the length, width, and height. Diagonal of a Right Rectangular PrismĪ diagonal is a line that joins two opposite corners of a shape that has straight sides. The volume of a right rectangular prism (V) for a length (l), height (h), and width (w) is given by, Volume of a right rectangular prism can be defined as the product of the area of one face multiplied by its height. Volume is the space occupied by a closed surface of a solid shape. Surface area of a right rectangular prism = lw+lw+wh+wh+lh+lh, which is equal to 2(lw+wh+lh) square units. The surface area of a right rectangular prism is the space occupied by all the faces of the right rectangular prism. Surface area is the space occupied by the outer surface of any solid shape. Surface Area of a Right Rectangular Prism Let us learn about each of the formulas related to the right rectangular prism in this section. Volume of a rectangular prism = length x width x heightįind the base area of a rectangular prism whose volume is 625 cm 3 and height is 18 cm.To find the surface area, volume, and length of the diagonal of a right rectangular prism, it is easy if we apply some formulae to make our calculations easier. Therefore, the dimensions of the cube will be 5.24 cm by 5.24 cm by 5.24 cm.Ĭalculate the volume of a solid rectangular prism whose base area is 18 in 2 and height is 4 in. ![]() Since we know that the volume of a cube = a 3 So, a cube will also have a volume of 144 cm 3 Volume of a rectangular prism = 8 x 6 x 3 What are the dimensions of a cube with the same volume as a rectangular prism with the dimensions as 8 m by 6 m by 3 m? If the walls of the box are 1 cm thick, find the volume of the box The external dimensions of a wooden box which is open at the top is given as 12 cm long, 10 cm wide and by 5 cm height. To find the number of boxes to be packed, divide the container’s volume by the volume of the box. Find the maximum number of small boxes that can be packed in the container? Small boxes of dimension 1 m x 4 m x 5 m are to be packed in a larger rectangular container of dimension 8 m x 10 m x 5 m. So, the height of the container is 6.48 m. Volume of a rectangular prism = base area x height The volume and base area of a rectangular cargo container is 778 m 3 and 120 m 2. Volume of the water available = 80 x 50 x 45 Volume of water, when the tank is full = 80 x 50 x 60 To find the water volume needed to fill the tank, subtract the available water volume from the volume of water when the tank is full. If the water’s depth in the tank is 45 m, find the volume of water required to fill the tank? Volume of the fish = 800 x 350 x 150 mm 3Ī rectangular water tank is 80 m long, 50 m wide, and 60 m in height. The volume of the fish = the volume of the water displaced. When fish is introduced in the aquarium, the water level rises by 150 mm. The length and width of a rectangular aquarium are 800 mm and 350 mm. Therefore, the dimensions of the rectangular prism are 8cm, 6cm, and 4 cm. If the prism’s length is twice the height and width of 6 cm, find the dimensions of the rectangular prism. The volume of a rectangular prism is 192 cm 3. What is the volume of the prism?īy the volume of a rectangular prism, we have The length, width, and height of a rectangular prism are 15 cm, 10 cm, and 5 cm, respectively. Let’s try the formula by working out a few example problems. Volume of a rectangular prism = Base area x height ![]() Therefore, we can also represent the volume of a rectangular prism formula as: In a rectangular prism, the product of the length and the width is known as the base area. Volume of a rectangular prism = (length x width x height) cubic units. The formula for the volume of a rectangular prism is given as: The unit for measuring the volume of a rectangular prism is cubic units, i.e., cm 3, mm 3, in 3, m 3, etc. To find the volume of a rectangular prism, multiply the length, width, and height. A rectangular prism is also referred to as a cuboid, rectangular hexahedron, right rectangular prism, or a rectangular parallelepiped. How to Find the Volume of a Rectangular Prism?Ī rectangular prism is a 3-dimensional object with six rectangular faces. ![]() We will also discuss the volume of a spherical cylinder. In this article, you will learn how to find a rectangular prism volume by using the volume of a rectangular prism formula. The volume of a rectangular prism is the measure of the space the fills it. Volume of Rectangular Prisms – Explanation & Examples ![]()
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