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Question 1
What is the surface area of the cuboid obtained by joining two equal cubes of 512 cu. cm volume each?
640 sq. cm.
642 sq. cm.
638 sq. cm.
644 sq. cm.
Ans: a
Let the side of a cube be L. Then L3 = 512, which gives L = 8. The resulting cuboid has L = L, H = L, and B = 2L. The surface area is 2 × (LB + BH + HL) = 2 × (2L2 + 2L2 + L2) = 10 × L2 = 10 × 82 = 640 sq. cm.
Question 2
What is the volume of a cone generated by rotating a right angled triangle with sides 25, 7 and 24 cm? The rotation is done about the side of length 24 cm.
Question 3
How much water flows per hour through a pipe of radius 49 cm, if water flows at 10 km/h? Take π = 22/7.
7546 cu. m.
7548 cu. m.
7544 cu. m.
7550 cu. m.
Ans: a
In one hour, a water column of length 10 km is delivered through the cylindrical pipe. The equivalent volume is ${22 × 49 × 49 × 10 × 1000}/{7 × 100 × 100}$, which can easily be cancelled to get 7546 cu. m.
Question 4
How much water flows per hour through a pipe of radius 2 cm, if water flows at 10 km/h?
Question 5
What is the surface area of the cuboid obtained by joining two equal cubes of 343 cu. cm volume each?
490 sq. cm.
492 sq. cm.
488 sq. cm.
494 sq. cm.
Ans: a
Let the side of a cube be L. Then L3 = 343, which gives L = 7. The resulting cuboid has L = L, H = L, and B = 2L. The surface area is 2 × (LB + BH + HL) = 2 × (2L2 + 2L2 + L2) = 10 × L2 = 10 × 72 = 490 sq. cm.
This Blog Post/Article "Volume and Surface Areas Quiz Set 019" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-11