Question : The area of the base of a rectangular tank is 70 m2 and the volume of water contained in it is 2800 m3. What is the depth of the water?
Option 1: 30 m
Option 2: 40 m
Option 3: 50 m
Option 4: 60 m
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Correct Answer: 40 m
Solution : Given: Volume = 2800 m3 Area of base = 70 m2 The volume of the Rectangular tank = Area of base × Height Putting the values, we get: 2800 = 70 × Height ⇒ Height = $\frac{2800}{70}$ = 40 Hence, the correct answer is 40 m.
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Question : The side of a square is equal to 40% of the radius of a sphere. If the volume of the sphere is $\frac{500 \pi}{3} \mathrm{~m}^3$, then what is the area of the square?
Option 1: 2 m2
Option 2: 1 m2
Option 3: 9 m2
Option 4: 4 m2
Question : There is a rectangular garden of 150 m × 25 m. A path of width 10 m is built around the garden. What is the area of the path?
Option 1: 3700 m2
Option 2: 3550 m2
Option 3: 3900 m2
Option 4: 3220 m2
Question : The area of the base of a solid cone is 616 cm2. If the height of the cone is 15 cm, then what is the volume of this cone?
Option 1: 2940 cm3
Option 2: 3440 cm3
Option 3: 3190 cm3
Option 4: 3080 cm3
Question : If a storeroom of a house is in the shape of a cuboid having a length of 3 m, a width of 2 m, and a height of 4 m, find the total area of its four walls.
Option 1: 50 m2
Option 2: 20 m2
Option 3: 40 m2
Option 4: 24 m2
Question : What will be the curved surface area of a cone of radius 5 cm and a slant height of 30 cm? (Use $\pi=3.14$)
Option 1: 234 m2
Option 2: 715 m2
Option 3: 543 m2
Option 4: 471 cm2
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