Unit-8:Mensuration
(a) Surface area of cube, cuboid and cylinder
(b) Volume of cube, cuboid and cylinder
Q1.
1 litre is equal to ________ cm3
(a) 1000 (b) 900 (c) 600 (d) 1200
Solution.
(a) 1000
Solution
Q2.
Volume of a cube is 27cm3 find the diagonal of a cube
(a) 2√3 (b) 3 (c) √3 (d) 3√3
Solution.
diagonal of a cube = a√3
a3 = 27
a = 3
= 3√3
Solution
Q3.
In a cube area of base is 4 cm2 find the total surface area of cube .
(a) 24 (b) 28 (c) 30 (d) 16
Solution.
a2 = 4
a = 2
Total surface area = 6a2
= 6(2)2
= 24 cm2
Solution
Q4.
Find the surface area of a cuboid whose dimensions are 10 cm , 12 cm and 15 cm.
(a) 800cm2 (b) 600cm2
(c) 900cm2 (d) 200cm2
Solution.
(c) 900cm2
Total surface area = 2(lb + bh + hl)
Solution
Q5.
Diagonal of a cube is 3 cm its volume is ______ cm3.
(a) 2 (b) 3 (c) √3 (d) 3√3
Solution.
(d) 3√3
Solution
Q6.
Total surface area of a cube is 36cm2 . Its volume is ________ cm3
(a) 6√6 (b) √6
(c) 36 (d) 6
Solution.
6a2 = 36
a2 = 6
a = √6
Volume = (√6)3 = 6√6
Solution
Q7.
Total surface area of a cuboid is 65 cm2 and its lateral surface area is 35cm2. find the area of its base?
(a) 18cm2 (b) 25cm2 (c) 15cm2 (d) 20cm2
Solution.
Total surface area of cuboid = 2(Area of base) + lateral surface area .
65 = 2(Area of base) + 35
Area of base = 15 cm2
Solution
Q8.
The number of rectangular faces of a cuboid are ________
(a) 4 (b) 6 (c) 3 (d) 5
Solution.
(b) 6
Solution
Q9.
1 hectare = _________ m2
(a) 10000 (b) 2000 (c) 20000 (d) 1000
Solution.
(a) 10000
Solution
Q10.
The edges of a cuboid are in the ratio 3:2:1 and its Total surface area is 44 cm2, Its volume is ________ cm3
(a) 12√2 (b) 12 (c) 18 (d) 10√2
Solution.
2(6x2 + 2x2 + 3x2) = 44
11x2 = 22
x2 = 2
x = √2
v = 12√2
Solution
