MCQ On Surface Area And Volume

Surface area and volume are basically used to deduce any three-dimensional geometrical shape. The surface area is the area or region occupied by the surface of the object. On the other hand, volume is said to be the amount of space available in an object. In geometry, there are different shapes and sizes such as Sphere, cube, cuboid, etc. and each shape has its surface area and volume.

But this is different in two-dimensional figures such as squares, circles and so on. In this, we can measure only the area covered by these figures and there is zero volume. Generally, the area is of two types:

1. Total Surface Area – It is the total area covered by the surface of the object. If the shape has a curved surface and base, the total area will be the sum of the two areas.
2. Lateral Surface area/Curved surface area – Curved surface area refers to the curved part only not including the base. It is also referred to as Lateral surface area.

Volume: The amount of space, measured in cubic units, that an object or substance occupies is called volume. 2D figures don’t have volume such as circles.

The video below explains this:

Surface Area and Volume Detailed Video Explanation:

---

Q1) If we cut a cone in two parts by a plane parallel to the base, then the bottom part left over is the:

1. cone
2. sphere
3. Frustrum of the cone
4. cylinder

Click here for the answer

Q2) 18 solid spheres are made by melting a solid metallic cone of base diameter as 3 cm and height as 12 cm. The radius of each sphere is:

1. 6
2. 1/2
3. 1/4
4. 1/6

Click here for the answer

Q3) The radius of the top and bottom of a bucket of slant height 28 cm are 24 cm and 9 cm. The curved surface area of the bucket is:

1. 3630 cm²
2. 3750 cm²
3. 2904 cm²
4. none of the above.

Click here for the answer

Q4) A tank is made up of the shape of the cylinder with a hemispherical depression at one end. The height of the cylinder is 1.17 m and radius 30 cm. the total surface area of the tank is:

1. 2.77 m
2. 3.3 m
3. 2.18 m
4. 3 m

Click here for the answer

Q5) A shuttle cock used for badminton has the shape of the combination of

1. Frustrum of a cone and a hemisphere
2. a cylinder and a sphere
3. a sphere and a cone
4. a cylinder and a hemisphere

Click here for the answer

Q6) A hollow cube of internal edge 24 cm is filled with spherical marbles of diameter 0.8 cm and it is assumed that 1/8th space of the cube remains vacant. Then the number of marbles that the cube can accommodate is

1. 14229
2. 3242
3. 3000
4. None of these

Click here for the answer

Q7) A solid piece of iron in the form of a cuboid of dimensions (56 x 33 x 24) cm, is moulded to form a solid sphere. The radius of the sphere is

1. 23
2. 25
3. 19
4. 21

Click here for the answer

Q8) The diameters of the two circular ends of the bucket are 42 cm and 22 cm. The height of the bucket is 35 cm. The capacity of the bucket is

1. 32.7 L
2. 33.7 L
3. 31.7 L
4. 29.06 L

Click here for the answer

Q9) When two same solid hemispheres of equal base radius r cm are attached together along with their bases. The total surface area of the combination is

1. 6πr²
2. 4 πr²
3. 3 πr²
4. 2 πr²

Click here for the answer

Q10) A solid cylinder of radius r and height h is placed over another cylinder of equal height and radius. The total surface area of the shape so formed is

1. 4πrh + 2πr2
2. 2πrh + 4πr2
3. 4πrh + 4πr2
4. 2πr2 + 2πrh

Click here for the answer

Q11) If the volume of a cube is 1728 cm³, the length of its edge is equal to

1. 12
2. 13
3. 14
4. 15

Click here for the answer

Q12) Cylindrical pencil sharpened at one edge is the combination of

1. a frustum of a cone and cylinder
2. a cone and a cylinder
3. a hemisphere and a cylinder
4. two cylinders

Click here for the answer

Q13) If we join two hemispheres of equal radius along with their bases, then we get a

1. Sphere
2. cone
3. cylinder
4. cube

Click here for the answer

Q14) The number of shots each having a radius of 2 cm can be made from a cuboidal lead solid of dimensions (9 x 11 x 12) cm is equal to approx.

1. 84
2. 90
3. 35
4. 92

Click here for the answer

Q15) The shape of an ice cream cone forms a combination of

1. Sphere and a cylinder
2. Cone and a sphere
3. Cone and a cylinder
4. Hemisphere and a cone

Click here for the answer

Q16) If a cone is cut parallel to the base of it by a plane in two parts, then the shape of the top of the cone would be

1. cone itself
2. frustrum
3. trapezium
4. sphere

Click here for the answer

Q17) If the volume of a cube is given as 1331 cm³, the length of its edge is equal to

1. 11 cm
2. 12 cm
3. 13 cm
4. 14 cm

Click here for the answer