Q1: Find the volume of the given figure.
(a) 2400 cm3
(b) 1600 cm3
(c) 2200 cm3
(d) 1400 cm3
Ans: (a)
Volume of a cuboid = l × b × h = 20 × 15 × 8 = 2400 cm3.
Q2: Find the area of the given rectangle.
(a) 16 cm2
(b) 100 cm2
(c) 625 cm2
(d) 50 cm2
Ans: (b)
Area of rectangle = l × b = 25 × 4 = 100 cm2.
Q3: Find the capacity of the cylinder. (π = 22/7)
(a) 1366 m3
(b) 1276 m3
(c) 1376 m3
(d) 1386 m3
Ans: (d)
Volume of cylinder
Q4: A cylindrical tank is having height 6m and radius 4 m. How much litres of water can be filled in the tank? (π = 3.14)
(a) 301430 litres
(b) 301460 litres
(c) 301440 litres
(d) 301450 litres
Ans: (c)
Capacity of the tank = πr2 h = 3.14 × 42 × 6 = 301.44 m3.
We know that, 1 m3 = 1000 litres
∴ 301.44 m3 = 301.44 × 1000 litres
= 301440 litres.
Q5: Find the height of the cylinder whose volume is 14.08 m3 and radius is 4 m.
(a) 0.54 m
(b) 0.56 m
(c) 0.14 m
(d) 0.28 m
Ans: (d)
Volume of cylinder = πr2 h
Q6: What is the volume of the given figure?
(a) 2642 cm3
(b) 2644 cm3
(c) 2744 cm3
(d) 2742 cm3
Ans: Volume of cube = a3 = 143 = 2744 cm3
Q7: Find the area of the given figure.
(a) 20cm2
(b) 50cm2
(c) 15cm2
(d) 25cm2
Ans: (d)
Area of triangle
Q8: Find the area of the given parallelogram.
(a) 142cm2
(b) 284cm2
(c) 144cm2
(d) 288cm2
Ans: (d)
Area of parallelogram = b × h = 12 × 24 = 288cm2.
Q9: Which of the following option is correct if a,b and c are the areas of the given figures (i), (ii) and (iii) respectively? (π = 22/7)
(a) a < b < c
(b) a > b > c
(c) a < b > c
(d) b < c > a
Ans: (a)
Area of rectangle = l × b = 5 × 2 = 10cm2
Q10: Find the area of the Lawn.
(a) 500m2
(b) 101m2
(c) 505m2
(d) 504m2
Ans: (c)
Area of lawn can be found by subtracting the area of inner rectangle from square.
Hence, Area of lawn = Area of square – Area of rectangle = (25)2 – (15)(8) = 505m2.
Q11: Find the surface area of the given cuboid.
(a) 44 cm2
(b) 22 cm2
(c) 40 cm2
(d) 88 cm2
Ans: (d)
Surface area cuboid = 2(lb + bh + lh) = 2(6 × 4 + 4 × 2 + 2 × 6) = 88 cm2.
Q12: Find the surface area of the given cylinder.
(a) 113.14 cm2
(b) 113.16 cm2
(c) 112.16 cm2
(d) 112.14 cm2
Ans: (a)
Curved Surface area of cylinder = 2πrh + 2πr2
= 113.14 cm2.
Q13: The internal measurement of a cuboidal room 15m × 6m × 4m.The room has to be painted along with the ceiling. If cost of painting is Rs 17 per m2, Find the total cost to be paid.
(a) Rs 4916
(b) Rs 3916
(c) Rs 4686
(d) Rs 4386
Ans: (d)
Surface area cuboid = 2(lb + bh + lh)
The floor of the room will not be painted.
∴ Surface area to be painted = 2(lb + bh + lh) – lb
= 2(15 × 6 + 4 × 6 + 4 × 15) – 15 × 6 = 258 m2
Total cost to be paid = 258 × 17 = Rs 4386.
Q14: Find the side of the cube whose surface area is 384m2.
(a) 5 m
(b) 6 m
(c) 8 m
(d) 7 m
Ans: (c)
Surface area cube = 6 a2
⇒ 384 = 6 (a2)
⇒ a = 8 m.
Q15: The curved surface of the cylinder is 88 cm2. The height of the cylinder is 5 m, what is the radius of the cylinder?
(a) 6 cm
(b) 4 cm
(c) 1 cm
(d) 2 cm
Ans: (b)
Curved Surface area of cylinder = 2πrh + 2πr2 = 2πr(r + h)
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