Surface Areas and Volumes

This MCQ is based on Surface Areas and Volumes of different solid shapes.

This includes the surface area of cuboids, the surface area of a cube, and finding the missing sides of solid shapes.

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The length of the longest rod that can fit in a cubical vessel of side 10 cm, is

10 cm 10√2 cm 10√3 cm 20 cm

A right circular cone has an altitude of 40 cm and a diameter of 60 cm. The slant height of the cone is

25 cm 100 cm 75 cm 50 cm

If the diameter of the base of a cylindrical pillar is 4 m and its height is 21 m, then the cost of construction of the pillar at Rs. 1.50 per cubic metre is:

Rs. 396 Rs. 400 Rs. 410 Rs. 420

The height of a right circular cone of radius 5 cm and slant height 13 cm is

8 cm 14 cm 6 cm 12 cm

The curved surface area of a right circular cone whose slant height is 14 cm and base radius is 21 cm is

308 cm2 924 cm2 232 cm2 446 cm2

If the perimeter of one of the faces of a cube is 40 cm, then its volume is:

6000 cm³ 1600 cm³ 1000 cm³ 600 cm³

A cuboid having surface areas of 3 adjacent faces as a, b and c has the volume:

3sqrt(abc) sqrt(abc) abc (abc)²

The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is

1 : 2 3 : 1 4 : 1 1 : 8

Length of diagonals of a cube of side a cm is

√2a cm √3a cm sqrt(3a) cm 1 cm

If x ∝ y and x1= 5, y1 = 210 and x2 = 2, then find y2 ?

200 84 99 70

The surface area of a cube whose edge equals to 3cm is:

62 sq.cm 30 sq.cm 54 sq.cm 90 sq.cm

The surface area of cuboid-shaped box having length=80 cm, breadth=40cm and height=20cm is:

11200 sq.cm 13000 sq.cm 13400 sq.cm 12000 sq.cm

The volume of a hemisphere whose radius is r is:

4/3 πr3 4πr3 2πr3 ⅔ π r3

A cone has slanted height of 5cm and height of 4cm, its volume (in cm3) is __________

38.71 36.50 37.00 37.71

The formula to find the surface area of a cuboid of length (l), breadth (b) and height (h) is:

lb+bh+hl 2(lb+bh+hl) 2(lbh) lbh/2

If the radius of a cylinder is 4cm and height is 10cm, then the total surface area of a cylinder is:

440 sq.cm 352 sq.cm. 400 sq.cm 412 sq.cm

Volume of a right circular cone of radius r and height h is given by __________

4/3πr^3 πr2h 1/3 πr2h 2/3 πr3^

What is the volume of a cone having radius of 21cm and height of 5cm?

2310cm3 2500cm3 6930cm3 7500cm3

Ratio of volume of a cone to the volume of a cylinder for same base radius and same height is __________

3 1/3 2 1/2

A triangle having sides equal to 7cm, 24cm and 25cm forms a cone when revolved about 24cm side. What is the volume of a cone formed?

1225cm3 1232cm3 4000cm3 3696cm3

Quiz/Test Summary

Title: Surface Areas and Volumes

Questions: 20

Contributed by:

NEO Fri, Feb 11, 2022 03:48 PM UTC

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