The length of the diagonal of a cube is  . What is the length
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    Surface Areas and Volumes

    Multiple Choice QuestionsShort Answer Type

    131. A cube and a cuboid have the same volume. The dimensions of the cuboid are in the ratio 1 : 2 : 4. If the difference between the cost of painting the cuboid and cube (whole surface area) at the rate of र 5/m2 is र 80, find their volumes.
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    132. A teak wood is cut first in the form of a cuboid of length 2.3 m, width 0.75 m and of a certain thickness. Its volume is 1.104 m3. How many rectangular planks of size 1.104 m3, how many rectangular planks of size 2.3 m x 0.75 m x 0.04 m can be cut from the cuboid? 
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    133. The length of a cinema hall is 20 m and its width is 16 m. The sum of the areas of its floor and flat roof is equal to the surface area of its four walls. Find the volume and height of the hall.
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    134. The length, breadth and height of a cuboid are 20 m, 24 m, 12 m respectively. The dimensions of length, breadth and depth are increased by 15%, 25% and 50% respectively. What is the ratio between the volume of the original cuboid and the new cuboid.  
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    135. A wall was to be built across an open ground to cover a width (or breadth) of 10 m. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm x 12 cm x 8 cm, how many bricks would be required?
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    136. A child playing with building blocks, which are of the shape of cubes, has built a structure as shown in figure. If the edge of each cube is 3 cm, find the volume of the structure built by the child.
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    137. The length of the diagonal of a cube is  square root of 12 space cm. What is the length of the edge of the cube?

    Solution not provided.

    Ans.  2 cm 

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    138.
    Volume of a rectangular block of stone is 2592 dm3 and its dimensions are in the ratio 4 : 3 : 1. Find its dimensions.
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    139. The length, breadth and height of a rectangular box are as 1 : 2 : 3. Find the volume of the box, when its surface area is 1078 sq. m.
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    140. What is the volume of a cube whose total surface area is 864 nr?
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