![]() ![]() Let us look at the next problem on "Surface area of 3d shapes"įind the surface area of the cube given below. Surface area of cuboid = 2(12x8 + 4x8 + 12x4) We can use the formula given below to find surface area of cuboid. The base is a triangle, so it will have three sides. TSA (2 × Base Area) + (Perimeter × Height) here, height is the distance between the 2 bases or the length of the prism. Total Surface Area (TSA) (2 × Base Area) + LSA. Lateral Surface Area (LSA) Perimeter × Height. 2 The lateral area of a prism is the surface area of all sides, or faces, that are not the base. Like all other polyhedrons, a prism also has a surface area and a volume. cmĪrea of the back face = 8 x 12 = 96 sq.cmĪrea of the left side face = 4 x 8 = 32 sq.cmĪrea of the right side face = 4 x 8 = 32 sq.cmĪrea of the top portion = 4 x 12 = 48 sq.cm The formula is, where equals the lateral area of the prism, equals the perimeter of one base, and equals the height of the prism. So we can use area of rectangle formula to get area of each face.Īrea of the front face = 8 x 12 = 96 sq. ![]() Surface area of cuboid = Sum of areas of all six faces To have better understanding on " Surface area of 3d shapes", let us look at some practice problems Surface area of 3d shapes - Practice problemsįind the surface area of the cuboid given below. We have to find area of each side wall separately. Note : If the base is not equilateral triangle and it is either scalene triangle or isosceles triangle, then the area of side walls will not be equal. This is the formula to find surface area of a pyramid with equilateral triangle base. Surface area of the above pyramid = ( √3/4) a ² + (3/2)ah Let us find the area of each face separately.Īrea of all 3 side walls = 3 x (1/2)ah = (3/2)ah In the above pyramid, the base is an equilateral triangle with side length "a".Īnd each wall is a triangle with base "a" and height "h" Volume triangular prism (Area triangle) (height) (1 2 (triangle base) (triangle height)) (prism height) 1 2 b h Cylinders A circular cylinder is a prism-like figure that has a base shaped like a circle. The shape of each side wall will be a triangle with equal area. For any pyramid, if the shape of the base is equilateral triangle, then we will have three side walls. ![]()
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