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Volume and Surface Area Concepts
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Volume and Surface Area Concepts
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If a sum of money at simple interest doubles in 6 years, it will become 4 times in:
A. 17 years
B. 18 years
C. 19 years
D. 20 years
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October 29, 2021
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Volume and Surface Area Concepts
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A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. The metal everywhere is 0.4 cm thick. The volume of the metal is:
A. 206.24 cm³
B. 306.24 cm³
C. 406.24 cm³
D. 506.24 cm³
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The number of coins of radius 0.75 cm and thickness 0.2 cm to be melted to make a right circular cylinder of height 8 cm and base radius 3 cm is :
A. 412
B. 560
C. 640
D. 780
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A cylinder tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by:
A. 11 3/7 cm
B. 12 3/7 cm
C. 13 3/7 cm
D. 14 3/7 cm
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Two right circular cylinders of equal volumes have their heights in the ratio 1 : 2. The ratio of their radii is :
A. 1 : 1
B. √1 : 1
C. 2 : 1
D. √2 : 1
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The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height.
A. 7 : 3
B. 9 : 11
C. 13 : 17
D. 21 : 25
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The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base
A. 18 m
B. 28 m
C. 38 m
D. 48 m
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The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is :
A. 1 : 7
B. 2: 5
C. 3 : 7
D. 4 : 9
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A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube
A. 10 : 12
B. 15 : 14
C. 20 : 16
D. 25 : 18
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An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are :
A. 20 cm, 100 cm
B. 40 cm, 200 cm
C. 60 cm, 300 cm
D. 80 cm, 400 cm
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How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge
A. 216
B. 336
C. 448
D. 552
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The cost of painting the whole surface area of a cube at the rate of 13 paise per sq. cm is Rs. 343.98. Then the volume of the cube is :
A. 6261 cm³
B. 7261 cm³
C. 8261 cm³
D. 9261 cm³
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Total surface area of a cube whose side is 0.5 cm is :
A. 3/2 cm²
B. 4/5 cm²
C. 7/9 cm²
D. none of these
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If the areas of the three adjacent faces of a cuboidal box are 120 cm², 72 cm² and 60 cm² respectively, then find the volume of the box.
A. 560 cm³
B. 640 cm³
C. 720 cm³
D. 880 cm³
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If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original
A. 0.5 kg
B. 0.25 kg
C. 0.60 kg
D. 0.95 kg
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A metallic sheet is of rectangular shape with dimensions 48 m × 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box
A. 5120 cm³
B. 6780 cm³
C. 7210 cm³
D. 8480 cm³
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A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls, the volume of the hall is :
A. 1200 m³
B. 1300 m³
C. 1400 m³
D. 1500 m³
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The number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is :
A. 3780
B. 4820
C. 5130
D. 6080
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The edges of a cuboid are in the ratio 1: 2 : 3 and its surface area is 88 cm². The volume of the cuboid is
A. 48 cm³
B. 52 cm³
C. 62 cm³
D. 71 cm³
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A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
A. 9 m²
B. 18 m²
C. 36 m²
D. 49 m²
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