1). If the total surface area of a cube is 6 sq units, then what is the volume of the cube?
A). 1 cu unit |
B). 2 cu units |
C). 4 cu units |
D). 6 cu units |
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2). If the volume of a cube is 729 cu. cm. what is the length of its diagonal?
A). \( \Large 9\sqrt{2} cm \) |
B). \( \Large 9\sqrt{3} cm \) |
C). 18 cm |
D). \( \Large 18\sqrt{3} cm \) |
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3). Find the surface area of a cuboid 10 m long, 5 In broad and 3 m high.
A). 105 sq m |
B). 104 sq m |
C). 170 sq m |
D). 190 sq m |
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4). The surface area of a cube is 726 sq cm. Find the volume of the cube.
A). 1331 \( \Large cm^{3} \) |
B). 1232 \( \Large cm^{3} \) |
C). 1626 \( \Large cm^{3} \) |
D). 1836 \( \Large cm^{3} \) |
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5). The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm x 6cm x 2 cm, is
A). \( \Large 2\sqrt{13} cm \) |
B). \( \Large 2\sqrt{14} cm \) |
C). \( \Large 2\sqrt{26} cm \) |
D). \( \Large 10\sqrt{2} cm \) |
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6). Internal length, breadth and height of a rectangular box are 10 cm, 8 cm and 6 cm, respectively. How many boxes are needed which can be packed in a cube whose volume is 6240 cu. cm.?
A). 12 |
B). 13 |
C). 15 |
D). 17 |
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7). A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 \( \Large cm^{2} \). Which one of the following is correct?
A). Both cube and cuboid can be painted |
B). Only cube can be painted |
C). Only cuboid can be painted |
D). Neither cube nor cuboid can be painted |
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8). The whole surface area of a rectangular block is 8788 sq cm. If length, breadth and height are in the ratio of 4 : 3 : 2, then find the length.
A). 26 cm |
B). 52 cm |
C). 104 cm |
D). 13 cm |
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9). What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm?
A). 9, 8 and 10 cm |
B). 12, 6 and 10 cm |
C). 18, 4 and 10 cm |
D). 30, 2 and 12 cm |
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10). The volume of a cube is equal to sum of its edges. What is the total surface area in square units?
A). 12 |
B). 36 |
C). 72 |
D). 144 |
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