Volume and Surface Areas Quiz Set 020

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

The areas of three adjacent faces of a cube are 3, 5 and 15. It's volume is?

 A

15 cu. units.

 B

17 cu. units.

 C

13 cu. units.

 D

19 cu. units.

Soln.
Ans: a

Let the sides be L, B and H. Then LB = 3, BH = 5 and LH = 15. Multiplying all three of them L2B2H2 = (3 × 5 × 15) = 225 = 152, which gives LBH = 15 = volume of the cuboid.


Question 2

What is the length of an edge of a cube if the ratio of volume to the total surface area is 7 : 2?

 A

21 units.

 B

22 units.

 C

20 units.

 D

8 units.

Soln.
Ans: a

The well-known relation for a cube is $S/V = 6/a$, which can be re-arranged to get $a = 6 × V/S$ = 21.


Question 3

What is the volume of rain water collected in a right cylindrical can of radius 8 cm, if 5 cm rainfall is recorded in the city?

 A

320 π cu. cm.

 B

322 π cu. cm.

 C

318 π cu. cm.

 D

324 π cu. cm.

Soln.
Ans: a

The height of the can will be filled to 5 cm. The volume of collected water is same as the volume of cylinder with radius 8 cm and height 5 cm., which equals π82 × 5 = 320π cu. cm.


Question 4

What is the volume of a right cone whose cross-section is an isosceles triangle with base 14 cm and slant height 25 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

One of the right triangles of the isosceles triangle has its base = 14/2 = 7. By Pythagorean theorem, the height = $√{25^2 - 7^2}$ = $√{625 - 49}$ = 24. 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 5

A cone of height 7 cm and radius of base 14 cm is made up of modeling clay. A child reshapes it in the form of a sphere. What is the radius of the sphere?

 A

7 cm.

 B

9 cm.

 C

5 cm.

 D

11 cm.

Soln.
Ans: a

Let the radius of the sphere be R. The volumes are equal. So $4/3$ π R3 = $1/3$ π 142 × 7. Cancelling π/3 from both sides, R3 = ${14 × 14 × 7}/4$ = 343 = 73. So R = 7 cm.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Volume and Surface Areas Quiz Set 020" 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


Advertisement