# Maths - Mensuration Questions Answers

1. ABCD is a quadrilateral in which BD = 40 cm. The lengths of the perpendiculars drawn from the opposite vertices on BD are 16 cm and 12 cm. The area of the quadrilateral (in cm2 ) is

• A. 560  • B. 580  • C. 600  • D. 500  • Option : A
• Explanation : Given, BD = 40 cm, AM =16 cm , NC=12cm
∴ Here, BD divides quadrilateral in two triangles.
Now,
Area of ΔABD = 1/2 x BD xAM
1/2 x 40 x 16 =320 cm∧2.
∴ Area of  ΔBCD = 1/2 x BD x NC
=1/2 x40 x12=240 cm∧2
ABCD = 320 + 240 = 560 cm∧2

2. A cuboid is of dimensions 5 cm × 2 cm × 5 cm. How many such cuboids may be joined to form a cube?

• A. 32  • B. 16  • C. 25  • D. 20  • Option : D
• Explanation : (D) Given that, sides of a cuboid are 5cm, 2cm and 5cm.
Volume of cuboid = 5 × 2 × 5 = 50cm3
Let the side of the cube formed with minimum number of cuboids = x
Hence, volume of the cube = x3
Let, number of cuboids required = n
Hence, n × 50 = x3
n × 50 must be perfect cube i.e.
minimum value of n = 2 × 2 × 5 = 20
Volume of the cube formed = 20 × 50 = 1000 cm3
So, required cuboids = 20

3. The sum of the length, breadth and depth of a cuboid is 20 cm and its diagonal is 4√5 cm. The surface area of cuboid will be

• A. 320 cm2  • B. 36 cm2  • C. 380√5 cm2  • D. 400 cm2  • Option : A
• Explanation : (A) 4. The area of three adjacent faces of a cuboid are x, y and z, respectively. The volume of cuboid will be

• A. xyz  • B. X2 Y2 Z2  • C. √XYZ  • D. 3√XYZ  • Option : C
• Explanation : Given, lb = x.
bh=y,lb=z.
lb x bh x lh = xyz.
l2 b2 b2 =xyz
Volume = lbh = √xyz

5. A cylinder, a hemisphere and a cone stand on equal bases and have same heights. The ratio of their volumes will be

• A. 3: 2 : 1  • B. 3: 2: 2  • C. 2:1:1  • D. 1:1:1  • Option : A
• Explanation : Here h =r
∴ Required ratio
=πr2h: (2/3)πr3  : (1/3) πr2h
=1:2/3:1/3 =3:2:1

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## Maths - Mensuration MCQ Questions

• Algebra
• Number System