Question : If the total surface area of a cube is 96 cm2, its volume is:
Option 1: 56 cm3
Option 2: 16 cm3
Option 3: 64 cm3
Option 4: 36 cm3
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Correct Answer: 64 cm3
Solution : Given: Total surface area of cube = 96 cm2 Let the sides of the cube be $a$ cm. ⇒ $6a^2 = 96$ ⇒ $a^2 = 16$ ⇒ $a = 4$ Volume of the cube $=a^3 =4^3= 64$ cm3 Hence, the correct answer is 64 cm3.
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Question : If the volume of a cube is 729 cm3, then find the total surface area of the cube.
Option 1: 484 cm2
Option 2: 482 cm2
Option 3: 488 cm2
Option 4: 486 cm2
Question : If the volume of a cube is 1728 cm3, then what is the total surface area of the cube?
Option 1: 804 cm2
Option 2: 729 cm2
Option 3: 864 cm2
Option 4: 926 cm2
Question : The difference between the total surface area and the lateral surface area of a cube of side 12 cm is:
Option 1: 292 cm2
Option 2: 290 cm2
Option 3: 288 cm2
Option 4: 286 cm2
Question : The sides of a triangle are 16 cm, 12 cm, and 20 cm. Find the area.
Option 1: 64 cm2
Option 2: 112 cm2
Option 3: 96 cm2
Option 4: 81 cm2
Question : The sum of the length and breadth of a cuboid is 4 cm. Length is three times the breadth. If the height of the cuboid is half of the sum of its length and breadth. Then what is the total surface area of the cuboid?
Option 2: 22 cm2
Option 3: 32 cm2
Option 4: 30 cm2
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