![]() Solution: Cuboid have length (l), breadth ( b) and height (h).Įx-7 : A cubical solid block of metal 49 cm x 44 cm x 18 cm is melted and formed into a solid sphere. So ratio of curved surface area to total surface area of cube = 4 : 6 = 2 : 3Įx-6 : Find the diagonal of a cuboid with length = 2a cm, breadth = 3a cm and height = cm Solution: Curved surface area of cube = 4a 2 Surface Area of the cuboid = 2 ( 8×4 + 4×4 + 4×8) = 160 cm 2Įx-5: The ratio of curved surface area and total surface area of a cube with edge ‘a’ cm is Now resulting cuboid length = 4 + 4 = 8 cm, breadth = 4 cm & height = 4 cm Find total surface area of the resulting cuboid. Number of spherical balls = Volume of the solid cube/Volume of each spherical ballĮx-4 : Two cubes volume 64 cm 3 each are joined end to end. Volume of each spherical ball = ( 4/3) x (22/7) x (3 x 3 x 3 ) Radius of spherical balls = r = 88/2 = 44 cm How many spherical balls can be made by using solid cube of lead and each ball being 88 cm in diameter. Volume of rice godown = 12 x 6 x 3 = 216 m 3Įx-3 : A solid cube of lead having edge measures 44 cm. Solution: Take godown breadth = b m then length = l = 2b m, height = 3 m Therefore, number of square sheets required for prepare a rectangular box = Total surface area of the rectangular box / Total surface area of the rectangular boxĮx-2 : The length of a rice godown is double its breadth. ![]() The surface area one single square sheet = 2 a 2 = 2 x 40 x 40 =1600 cm 2 It is one of the most prevalent shapes in our environment, with three dimensions: length, breadth, and height. Total surface area of the rectangular box = 2 (lb + bh + lh ) = 2 = 11200 cm 2 4 FAQs Suggested Videos What is Cuboid The cuboid shape has a closed three-dimensional structure surrounded by rectangular faces, which are rectangle plane sections. Then how many Square sheets are required to prepare rectangular box with side of 40 cm. ![]() Volume of Cube = edge x edge x edge = a x a x a = a 3 cubic units Diagonal length of Cuboid and CubeĮx – 1 : The required rectangular box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively. Volume of the Cuboid =( l x b x h) cubic units The total surface area of cuboid = The area of plan rectangle occupied by each rectangle x height = Length x Breadth x Height Total surface area of cube = Total area of the all square pieces = aa + aa + aa + aa+ aa + aaĪrea of Cube = 6a 2 Volume of Cuboid and CubeĬuboid or cube measure of this occupied space is called the volume of Cuboid and Cube. Total surface area of cuboid = Total area of the all rectangular pieces = lb + lb + bh + bh + lh + lh Six rectangular pieces are covered by cuboid total surface area. Lateral Surface area of cube = aa + aa + aa + aa = 4a 2 Lateral Surface area of cuboid = lh + lh + bh + bh = 2 (lh + bh) = 2 (l +b)h The area of four faces of cube or cuboid is called the lateral surface area of the same. Perimeter of cube = 4 ( a + a + a ) = 12a Surface Area of Cuboid and Cube The perimeter of the cube or cuboid gives the complete edge to edge separation of the shape of the same CubeĪ cube is a cuboid which has all its edges equalĪ cuboid or cube have 6 faces, 8 vertices and 12 edges. ![]() It is virtue of its length (l), breadth ( b) and height (h). If you have a plan or engineering schematic in which the measurements are all given, your task is significantly easier.Surface Area and volume of cuboid and Cube Formulas with Examples CuboidĪ solid which contains length, breadth and height is called cuboid. In practical situations, you rarely know in advance that something is a cube, so you might still need to measure at least three sides before you can confirm this. Finally, adjust the unit to its cubic equivalent. ![]() You only need a single measurement, then you multiply it by itself and by itself again, equivalent to raising it to the power of 3. This is one of the simplest bodies one can calculate the volume of. If you need to find the volume in a specific unit, then a unit conversion would be needed which is most easily done to the length of the side, before replacing it in the formula. If the length was in feet, the result will be in cubic feet, and so on for cubic yards, cubic miles, cubic millimeters, cubic centimeters, cubic meters. So, if you measured it in inches, the result will be in cubic inches. The result from the calculation, using our volume of a cube calculator or otherwise, will always be in the length unit used, cubed. This is simply the length of the side multiplied by itself two times. The formula is then volume cube = side 3. The volume of a cube can be calculated if you know its side length. ![]()
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