Surface Area of a square prism = 2a 2 + 4ah square units To find: Surface area and volume of a square prism. With Cuemath, find solutions in simple and easy steps.īook a Free Trial Class Examples Using Square Prism FormulaĮxample 1: Given a square prism of side 5 cm and height 12 cm, find its surface area and volume using square prism formula. Use our free online calculator to solve challenging questions. Let us see the applications of the square prism formulas in the solved examples section below. Volume of a square prism = a 2h cubic units Surface Area of a square prism = 2a 2 + 4ah square units The other is the oblique square prism in which the lateral faces are not perpendicular to its base. Square prism formulas include the formulas to find its volume and surface area. One is the right square prism in which its lateral faces are perpendicular to its base. What Is Square Prism Formula?Ī square prism can be classified into two types. Let us learn about the square prism formula with a few examples in the end. These four rectangular faces are called lateral faces. It has 6 faces, two opposite faces are square in shape while the remaining four are rectangular. A square prism is a special type of cuboid having square bases. We need all the units to be cm or cm², so we need to convert 2 metres into 200 centimetres.Before learning the square prism formula, let us recall what is a square prism. The diagram below shows a triangular prism:Ī) Calculate the volume of the prism if l = 5 cm.ī) Calculate the volume of the prism if l = 2 m.Ī) Calculating the volume of the prism if l = 5 cm. Thus the volume of a triangular prism is 12cm 2 Volume = area of triangular cross-section × perpendicular height All lengths are the sameĬross sectional area = 1/2 × 3 × 2 cm 2 =3cm 2 That is volume of prism = Area of cross section × heightĪ) Volume = area of cross-section × perpendicular heightī) Volume = area of cross-section × perpendicular heightįind the volume of a rectangular prism whose length is 15′, it’s width is 11′ī) A cube is bounded by six square faces. If for example the cross-sectional shape was a rectangle then you just use the standard formula to calculate the area of a rectangle and multiply that by the height to find the volume. You could even have an irregular cross-sectional shape, in which case the area is often given. Hexagonal, triangular, rectangular, trapezium, isosceles, square, and almost any quadrangular shape. The cross-sectional shape of the prism can vary a lot, and could be You are therefore using cross-sectional area to find volume. The principle here is that if you can figure out the cross-sectional area (A) of the prism then it is a simple matter of multiplying that with the length (l) to find the volume (V). The surface area of the cross section multiplied by the length usually gives the volume. The volume of a prism is found by multiplying the area of its cross section by the height of the prism.Ī prism has a uniform cross section throughout the length. Recognize that the volume of a rectangular prism is the product of the lengths of its base, width, and height (V = b × w × h).Ī prism is a solid with a uniform cross – section.At the end of this lesson, student should be able to:
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