Question : What will be the length of the longest diagonal of the cuboid having a length of 13 cm, width of 11 cm, and height of 20 cm?
Option 1: 23.45 cm
Option 2: 26.27 cm
Option 3: 34.65 cm
Option 4: 22.65 cm
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Correct Answer: 26.27 cm
Solution : Given: Length($l$) = 13 cm, width($b$) = 11 cm, and height($h$) = 20 cm Length of the longest diagonal of the cuboid $=\sqrt{13^2 + 11^2 + 20^2}$ $= \sqrt{169 + 121 + 400}$ $= \sqrt{690}$ $= 26.27$ cm Hence, the correct answer is 26.27 cm.
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Question : The length, breadth, and height of a cuboid are 40 cm, 20 cm, and 10 cm, respectively. What is the volume of this cuboid?
Option 1: 16000 cm3
Option 2: 8000 cm3
Option 3: 2000 cm3
Option 4: 4000 cm3
Question : The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?
Option 1: 36 cm
Option 2: 56 cm
Option 3: 48 cm
Option 4: 42 cm
Question : The length of a cuboid is 4 cm. If the breadth of the cuboid is four times its length and the height of the cuboid is twice its length, then what is the lateral surface area of the cuboid?
Option 1: 380 cm2
Option 2: 440 cm2
Option 3: 260 cm2
Option 4: 320 cm2
Question : The length of a cuboid is 10 cm. If the breadth of the cuboid is half of its length and the height of the cuboid is twice its length, then what is the lateral surface area of the cuboid?
Option 1: 600 cm2
Option 2: 500 cm2
Option 3: 720 cm2
Option 4: 560 cm2
Question : The sum of the length and breadth of a cuboid is 40 cm. If the height of the cuboid is $\frac{1}{5}$ of the sum of its length and breadth, then what is the lateral surface area of the cuboid?
Option 1: $580 {~cm}^2$
Option 2: $320 {~cm}^2$
Option 3: $640 {~cm}^2$
Option 4: $720 {~cm}^2$
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