Volume and Surface Areas Quiz Set 019

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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?

 A

640 sq. cm.

 B

642 sq. cm.

 C

638 sq. cm.

 D

644 sq. cm.

Soln.
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.

 A

392 π sq. cm.

 B

393 π sq. cm.

 C

391 π sq. cm.

 D

$131{2/3}$ π sq. cm.

Soln.
Ans: a

The radius of the base of the cone r = 7 cm, and height h = 24 cm. The volume is $1/3$π$(r^2 × h)$ = $1/3$π$(7^2 × 24)$ = 392π.


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.

 A

7546 cu. m.

 B

7548 cu. m.

 C

7544 cu. m.

 D

7550 cu. m.

Soln.
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?

 A

4 π cu. m.

 B

6 π cu. m.

 C

10 π cu. m.

 D

8 π cu. m.

Soln.
Ans: a

In one hour, a water column of length 10 km is delivered through the cylindrical pipe. The equivalent volume is π × ${2 × 2 × 10 × 1000}/{100 × 100}$, which can easily be cancelled to get 4π cu. m.


Question 5

What is the surface area of the cuboid obtained by joining two equal cubes of 343 cu. cm volume each?

 A

490 sq. cm.

 B

492 sq. cm.

 C

488 sq. cm.

 D

494 sq. cm.

Soln.
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.


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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 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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