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Find the surface area of a cuboid whoselength = 3.2 m, breadth = 30 dm, height = 250 cm.
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A cuboidal box is 5 cm by 5 cm by 4 cm. Find its surface area.
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The dimensions of a cuboid are in the ratio 5 : 3 : 1 and its total surface area is 414 m2. Find the dimensions.
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Find the area of the cardboard required to make a closed box of length 25 cm, 0.5 m and height 15 cm.
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The dimensions of an oil tin are 26 cm × 26 cm × 45 cm. Find the area of the tin sheet required for making 20 such tins. If 1 square metre of the tin sheet costs Rs 10, find the cost of tin sheet used for these 20 tins.
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A cloassroom is 11 m long, 8 m wide and 5 m high. Find the sum of the areas of its floor and the four walls (including doors, windows, etc.)
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A swimming pool is 20 m long 15 m wide and 3 m deep. Find the cost of repairing the floor and wall at the rate of Rs 25 per square metre.
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The perimeter of a floor of a room is 30 m and its height is 3 m. Find the area of four walls of the room.
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Show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume.
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The walls and ceiling of a room are to be plastered. The length, breadth and height of the room are 4.5 m, 3 m and 350 cm, respectively. Find the cost of plastering at the rate of Rs 8 per square metre.
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A cuboid has total surface area of 50 m2 and lateral surface area is 30 m2. Find the area of its base.
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A classroom is 7 m long, 6 m broad and 3.5 m high. Doors and windows occupy an area of 17 m2. What is the cost of white-washing the walls at the rate of Rs 1.50 per m2.
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The central hall of a school is 80 m long and 8 m high. It has 10 doors each of size 3 m × 1.5 m and 10 windows each of size 1.5 m × 1 m. If the cost of white-washing the walls of the hall at the rate of Rs 1.20 per m2 is Rs 2385.60, fidn the breadth of the hall.
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Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.
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If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that \[\frac{1}{V} = \frac{2}{S}\left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right)\]
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The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that V2 = xyz.
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A rectangular water reservoir contains 105 m3 of water. Find the depth of the water in the reservoir if its base measures 12 m by 3.5 m.
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The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. dm. Find its dimensions.
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A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the cost of iron sheet used at the rate of Rs 5 per metre sheet, sheet being 2 m wide.
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A tank open at the top is made of iron sheet 4 m wide. If the dimensions of the tank are 12 m × 8 m × 6 m, find the cost of iron sheet at Rs 17.50 per metre.
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