SURFACE AREAS AND VOLUMES - MCQs

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Maths — SURFACE AREAS AND VOLUMES

50 Questions Class 10 MCQs
1
What is the total surface area of a cube of edge \(a\)?
2
The volume of a cube of side \(a\) is:
3
What is the curved surface area of a right circular cylinder of radius \(r\) and height \(h\)?
4
The total surface area of a cuboid with dimensions \(l, b, h\) is:
5
The volume of a right circular cylinder is:
6
What is the curved surface area of a cone?
7
The slant height \(l\) of a cone is given by:
8
The volume of a cone is:
9
The surface area of a sphere of radius \(r\) is:
10
The volume of a sphere is:
11
The curved surface area of a hemisphere is:
12
The total surface area of a hemisphere is:
13
The volume of a hemisphere is:
14
If the radius of a sphere is doubled, its volume becomes:
15
If the height of a cylinder is doubled, its volume:
16
Which quantity remains constant when a solid is melted and recast?
17
A hollow cylinder differs from a solid cylinder because it has:
18
The volume of a hollow cylinder is given by:
19
Painting the outside of a solid involves calculation of:
20
Capacity of a container is measured by:
21
The unit of volume in SI system is:
22
The unit of surface area is:
23
A solid formed by combining a cone and a hemisphere will have volume equal to:
24
Which formula uses slant height?
25
If all dimensions of a solid are halved, its volume becomes:
26
A sphere has the same volume as a cone. The relationship involves:
27
Which solid has no flat surface?
28
The base of a cone is:
29
A cuboid has how many faces?
30
The curved surface area of a sphere is:
31
Which solid has both curved and flat surfaces?
32
If the radius of a cylinder is tripled, its volume becomes:
33
Which solid has exactly one curved surface and one flat surface?
34
When converting cm into m, we divide by:
35
Which chapter concept is used in water tank problems?
36
The shape of an ice-cream cone is:
37
The formula \(2\pi r(h+r)\) represents:
38
A metallic sphere is melted and recast into a cube. Which remains same?
39
Which solid has the maximum volume for the same surface area?
40
The base area of a cylinder is:
41
A cone and a cylinder have equal base and height. The ratio of their volumes is:
42
Which solid is used to model a football?
43
The surface area of a cuboid depends on:
44
What does mensuration mainly deal with?
45
A solid with equal length, breadth and height is:
46
Which quantity increases faster with increase in dimensions?
47
The diameter of a sphere is:
48
A tent is generally shaped like a:
49
Which solid has two circular faces?
50
Surface Areas and Volumes mainly helps in:
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Frequently Asked Questions

The surface area of a solid is the total area covered by all its outer faces. It represents the amount of material required to cover the solid from the outside.

Volume is the measure of space occupied by a solid object. It indicates the capacity of the solid to hold material such as liquid or gas.

Curved surface area is the area of only the curved part of a solid, excluding any flat circular or polygonal faces.

Total surface area is the sum of the curved surface area and the areas of all flat faces of a solid.

The chapter includes cube, cuboid, right circular cylinder, right circular cone, sphere, hemisphere, hollow solids, and combinations of these solids.

The total surface area of a cube is given by \(6a^2\), where \(a\) is the length of one edge.

The volume of a cuboid is calculated using the formula \(l \times b \times h\), where \(l\), \(b\), and \(h\) are length, breadth, and height respectively.

The curved surface area of a cylinder is \(2\pi rh\), where \(r\) is the radius and \(h\) is the height.

The total surface area of a cylinder is \(2\pi r(h + r)\), which includes the curved surface and both circular ends.

Slant height is the distance from the centre of the base of a cone to a point on the curved surface along the side. It is denoted by \(l\).

Slant height is calculated using \(l = \sqrt{r^2 + h^2}\), where \(r\) is radius and \(h\) is height of the cone.

The volume of a cone is \(\frac{1}{3}\pi r^2 h\).

The surface area of a sphere is \(4\pi r^2\), where \(r\) is the radius.

The volume of a sphere is \(\frac{4}{3}\pi r^3\).

A hemisphere is exactly half of a sphere, having one flat circular face and one curved surface.

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