Match the following Column A Column B If radius = r , height = h and slant height = l , then total surface area of the cone is : (a) 4 π r 2 If radius = r , then the volume of a hemisphere is: (b) π r ( l + r ) If radius = r , then curved surface area of a sphere is : (c) 2 [ l b + b h + h l ] If radius = r and height = h , then total surface area of a cylinder is: (d) 2 π r ( h + r ) If length, breadth and height of a cuboid are l , b and h then its total surface area is: (e) 2 3 π r 3

Column A Column B If radius = r , height = h and slant height = l , then total surface area of the cone is : (b) π r ( l + r ) If radius = r , then the volume of a hemisphere is: (e) 2 3 π r 3 If radius = r , then curved surface area of a sphere is : (a) 4 π r 2 If radius = r and height = h , then total surface area of a cylinder is: (d) 2 π r ( h + r ) If length, breadth and height of a cuboid are l , b and h , then its total surface area is: (c) 2 [ l b + b h + h l ]

A solid body having six rectangle faces such that the opposite face are equal Cuboid. The amount of surface enclosed by a closed figure is called area. The total area of the surface of a three-dimensional object is called surface area. The side length of a cone is called slant height. The amount of 3-dimensional space an object occupies is called volume. A solid obtained by cutting a sphere into two equal parts is called hemisphere. The base is in circular shape. A solid body made of all those points in space that are at a fixed distance from a given point having a curved surface only is called sphere.

E M B I B E

Activity Plus in Mathematics>Chapter 5 - Mensuration>Enrichment Exercise>Q B

EASY

9th CBSE

IMPORTANT

Earn 100

If dimensions of a cuboid are $2 a$ , $3 b$ and $4 c$ , then its total surface area is $24 a b c$ square units.

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Important Questions on Mensuration

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 5 - Mensuration>Enrichment Exercise>Q B

If

‘ r ’

is the base radius and

' l'

be the slant height. Then the volume of the cone is

\frac{1}{3} π r^{3} l

.

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 5 - Mensuration>Enrichment Exercise>Q B

The radius of a sphere is reduced to

\frac{1}{3} r

. The total surface area of the new sphere will be

\frac{4}{3} π r^{2} sq . units .

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 5 - Mensuration>Enrichment Exercise>Q B

If length of cuboid is doubled, keeping its breadth and height same then the total surface area of the new cuboid is

2 [2 l b + bh + 2 h l] sq . units .

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 5 - Mensuration>Enrichment Exercise>Q B

The edge of a cube is $‘ r ’ cm$ . Volume of the possible largest circular cone that can be cut-out of this cube is $\frac{1}{6} π r^{3} {cm}^{3}$ .

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 5 - Mensuration>Enrichment Exercise>Q B

If the radius of a right circular cone is halved and height is doubled then its volume remains unchanged.

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 5 - Mensuration>Enrichment Exercise>Q B

A largest sphere is carved from a cube of edge

‘ r ’

. The volume of the sphere so obtained is

\frac{π r^{3}}{6} cu . units

.

HARD

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 5 - Mensuration>Enrichment Exercise>Q C

Match the following

Column A	Column B
If radius $= r$ , height $= h$ and slant height $= l$ , then total surface area of the cone is :	(a) $4 π r^{2}$
If radius $= r$ , then the volume of a hemisphere is:	(b) $π r (l + r)$
If radius $= r$ , then curved surface area of a sphere is :	(c) $2 [l b + b h + h l]$
If radius $= r$ and height $= h$ , then total surface area of a cylinder is:	(d) $2 π r (h + r)$
If length, breadth and height of a cuboid are $l, b and h$ then its total surface area is:	(e) $\frac{2}{3} π r^{3}$