Mensuration
1. What is the area of a square whose side is 18 cm?
A : 26 cm²
B : 36 cm²
C : 72 cm²
D : 324 cm²
2. What is the diagonal of a square plate whose side is 28 cm?
A : 39.29 cm
B : 39.39 cm
C : 39.49 cm
D : 39.59 cm
3. What is the side of a square whose area is 625 mm²?
A : 15 mm
B : 20 mm
C : 25 mm
D : 30 mm
4. What is the perimeter of a rectangle whose length and breadth are 20 cm and 18 cm?
A : 56 cm
B : 66 cm
C : 76 cm
D : 86 mm
5. What is the area of a rectangle, whose length and breadth are 10cm and 8cm respectively?
A : 75 cm²
B : 80 cm²
C : 85 cm²
D : 90 cm²
6. What is the area of a right angled triangle having a base 10 cm and height 5 cm?
A : 20 sq.cm
B : 25 sq.cm
C : 30 sq.cm
D : 35 sq.cm
7. What is the perimeter of scalene. Triangle having sides of 40mm, 20mm and 28mm?
A : 68 mm
B : 78 mm
C : 88 mm
D : 98 mm
8. What is the area of an equilateral triangle of side 450 mm?
A : 856.82 cm²
B : 866.82 cm²
C : 876.82 cm²
D : 886.82 cm²
9. What is the area of a circle of diameter 50 cm?
A : 1932.5 cm²
B : 1942.5 cm²
C : 1952.5 cm²
D : 1962.5 cm²
10. What is the area of a (A) semicircle whose dia is 20 cm (d)?
A : 147.1 cm²
B : 157.1 cm²
C : 167.1 cm²
D : 177.1 cm²
11. What is the cross sectional area of a circular ring of D = 38 mm d = 32mm?
B : 330 mm²
C : 340 mm²
D : 350 mm²
12. What is the area of a sector of a circle of radius 5 cm and its angle is 96°?
A : 20.39 cm²
B : 20.93 cm²
C : 20.89 cm²
D : 20.98 cm²
13. What is the formula for area and perimeter of a hexagon?
A : $\displaystyle \frac{\sqrt{3}}{2}a^{2}$, 3a
B : $\displaystyle \frac{3\sqrt{2}}{2}a^{2}$, 4a
C : $\displaystyle \frac{3\sqrt{3}}{2}a^{2}$, 6a
D : $\displaystyle \frac{3\sqrt{3}}{2}a^{2}$, a
14. What is the area of an ellipse if the major and minor axes are 5 cm and 3 cm respectively?
A : 27 cm²
B : 37 cm²
C : 47 cm²
D : 57 cm²
15. Find the total surface area of cube whose side is 25 cm.
A : 3740 cm²
B : 3745 cm²
C : 3750 cm²
D : 3755 cm²
16. Find the total surface area of a cast iron bar whose length, width and height are 20m, 15m and 12m.
A : 1340 m²
B : 1440 m²
C : 1540 m²
D : 1640 m²
17. What is the formula for total surface area of a cylinder?
A : 2π r (h + r) unit²
B : π r (h + r) unit²
C : π rh unit²
D : 2π rh unit²
18. What is the volume of a rectangular tank of 30 m length, 20m width and 10m height?
A : 5900 m³
B : 6000 m³
C : 6100 m³
D : 6200 m³
19. What is volume of the cylinder whose radius is 7 cm and height 12 cm?
A : 1842 c.c
B : 1844 c.c
C : 1846 c.c
D : 1848 c.c
20. What is the volume of sphere of radius 7 cm?
A : 1436 cm³
B : 1463 cm³
C : 1346 cm³
D : 1636 cm³
21. What is the formula for finding volume of a hollow cylinder having outer radius ´R´ inner radius ´r´ and height ´h´?
A : π (R² - r²) h unit³
B : π/3 (R² - r²) h unit³
C : 2/3 π(R² - r²) h unit³
D : 4/3 π (R² - r²)h unit³
22. What is the capacity of a conical tank of radius 2 m and height 5m?
A : 11 m³
B : 21 m³
C : 31 m³
D : 41 m³
23. How many liters of water a cylindrical tank of radius 75 cm and height 100 cm can hold?
A : 1766.25 liters
B : 1767.25 liters
C : 1768.25 liters
D : 1769.25 liters
24. What is the total surface area of a cylinder having radius 2 metres and height 5 metres?
A : 86 sq.metre
B : 88 sq.metre
C : 90 sq.metre
D : 92 sq.metre
25. Find the curved surface area of a cylinder 10 cm dia and 20 cm height?
A : 620 cm²
B : 628 cm²
C : 630 cm²
D : 638 cm²
26. What is the name of the object?
B : Frustum of a pyramid
C : Frustum of a cone
D : Hexagonal prism
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