Surface Area of Cube, Cuboid and Cylinder

IMPORTANT

Surface Area of Cube, Cuboid and Cylinder: Overview

This topic covers concepts, such as, Surface Area of a Solid Shape, Lateral Surface Area of a Solid Shape, Surface Area of Cube, Surface Area of Cuboid, Total Surface Area of a Cylinder & Lateral Surface Area of a Cylinder etc.

Important Questions on Surface Area of Cube, Cuboid and Cylinder

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In a building, there are 20 cylindrical pillars. The radius of each pillar is 0.42 m and the height is 3 m. If the total cost of painting the curved surface area of all pillars at the rate of  14 per m2 is k, then find the value of k considering π=227.

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A company packages its milk powder in a cylindrical container whose base has a radius of 10.5 cm and a height of 34 cm. The company places a label around the surface of the container. If the area of the label is k cm2, then find the value of k considering π=227.

MEDIUM
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In a building, there are 20 cylindrical pillars. If the radius of each pillar is 0.42 m and the height is 3 m. Then the total cost of painting the curved surface area of all pillars at the rate of 14 per m2 is _____. (Use π=227)

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The walls, floor and roof of a room are to be plastered. The length, breadth and height of the room are 4.5 m, 3 m and 3.5 m respectively, if the area to be plastered is k m2, then find the value of k.

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A suitcase with measures 80 cm×48 cm×24 cm is to be covered with a tarpaulin cloth. If k metres of tarpaulin of width 96 cm is required to cover 100 such suitcases, then find the value of k.

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Hameed has built a cubical water tank with a lid for his house, with each other edge 1.5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. Find how much he would spend in rupees for the tiles, if the cost of tiles is  360 per dozen.

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Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block covered with colored paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would she require?

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Total surface area of a Cube is a 0.96 m2. Then, each side of the square face of the Cube measures _____ m.

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Find the side of a cube (in cm) whose surface area is 600 cm2.

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Rukhsar painted the outside of the cabinet of measure 1 m×2 m×1.5 m. How much surface area m2 did she cover if she painted all except the bottom of the cabinet?

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A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal m2 is required? [π=227]

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Each edge of a cube is increased by 50%. Find the percentage increase in the surface area of the cube.

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What is the surface area of the bigger cuboid after the smaller cuboid is cut out

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What is the total surface area of the smaller cuboid?

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What is the area of the bigger cuboid?

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The solid shown below is made of three identical cuboids. The dimensions are marked in the figure below.

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What is the surface area of the above solid?

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The block of solid shown below is made of two identical cuboids. The dimensions of the cuboids are marked in the figure.

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What is the surface area of the above block?

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Shown below is a cuboid. Its dimensions are marked on the figure itself.

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What is the surface area of the above cuboid?

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What is the area of the cube before slicing?

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What is the total surface area of the 2 triangular prisms that are formed by slicing the cube?

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