Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample from **Mensuration** that is important for all the competitive exams. We have included Some questions that are repeatedly asked in exams !!

**The edges of a cuboid are in the ratio 3:4:5 and its surface area is 188 sq.cm. The volume of the cuboid is**

A)158.91 cubic cm

B)168.29 cubic cm

C)168.19 cubic cm

D)186.91 cubic cmAnswer –**C)168.19 cubic cm**

Explanation : sides 3x,4x,5x

Surface area = 188

2(lb+bh+hl)=188

X^2 = 94/47

X=1.41

Volume= l*b*h= 168.19 cubic cm**A solid metallic cone of height 20cm radius of base 30 cm is melted to make spherical balls each of 10cm diameter. How many such balls can be made?**

A)46

B)56

C)36

D)63Answer –**C)36**

Explanation :

Exp: n*4/3 * π r^3 = ⅓ π * R^2 *h

n= 36**The length and breadth of a rectangle are increased by 32% and 25% respectively. Its area will be increased by**

A)55%

B)65%

C)56%

D)50%Answer –**B)65%**

Explanation :32 + 25 + (32*25/100)**A right triangle with sides 15,16 and 18cm is rotated about the side 15cm to form a cone. The volume of the cone will be**

A)4011.65 cubic cm

B)3022.65 cubic cm

C)4022.85 cubic cm

D)2022.65 cubic cmAnswer –**C)4022.85 cubic cm**

Explanation :

h= 15, r = 16

Volume= ⅓ * π * (16)^2 * 15**After measuring 320m of a rope, it was discovered that the measuring metre rod was 6cm longer. The true length of the rope measured is**

A)320m 860cm

B)329m 60cm

C)320m 60cm

D)230m 860cmAnswer –**B)329m 60cm**

Explanation :

True length= 320m + 320* 3cm

320m + 960cm

329m 60cm(1m=100cm)**If the height and the radius of the base of a cone are each increased by 100%, then the volume of the cone becomes**

A)Twice the original

B)Four time the original

C)Eight times the original

D)Six times the originalAnswer –**C)Eight times the original**

Explanation :

Diameter of semi-circumference= r

New height=h+h=2h

New radius=r+r= 2r

Volume= ⅓ π* r^2 h

New volume= ⅓ π (2r)^2 * 2h

New/original = 8/1**The perimeter of a rhombus is 300cm. If one of its diagonals is 16cm then the area of the rhombus is**

A)1129 sq cm

B)1092 sq cm

C)1022 sq cm

D)1192 sq cmAnswer –**D)1192 sq cm**

Explanation :

Length of one side of rhombus= 300/4=75cm

Other diagonal= 2 * root of (75)^2 – 8^2

= 149

Area= ½ * 16 * 149**The height of a cone is 60cm. A small cone is cut off at the top of by a plane parallel to its base. If its volume is 1/64 of volume of the cone, at what height above the base is the section made?**

A)17cm

B)20cm

C)23cm

D)15cmAnswer –**D)15cm**

Explanation :

(⅓ * π * r1^2 * h1 )/ (⅓ π * r^2 * h) / 1/64

(r1/r)^2 * h1/h = 1/64

(h1/h) ^3 = (¼)^3 ( r1/r = h1/h)

h1 = ¼ * 60=15**Volume of a cube whose diagonal measures 36*root3 cm?**

A)56356

B)34625

C)46656

D)25376Answer –**C)46656**

Explanation :

Diagonal= root 3 * side

Side =36

Volume= 36^3**A wire when bent in the form of a square enclose an area of 841 sq cm. What will be enclosed area when the samd wire is bent into the form of a circle?**

A)1938.34

B)1069.83

C)2536.34

D)1938.33Answer –**B)1069.83**

Explanation :

area of square= side^2

Side = root 841 = 29

Perimeter= 4*29 = 116cm

According to question circle is made by same wire so

Perimeter if square= circumference of circle

116= 2πr

r=18.45

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