Question

the edge of a cubical box is 9cm. how much space is increased in the box if the edge of the box is increased by 2cm.

Answer 1

edge of cube=9cm
volume of cube = a×a×a
9×9×9
729cm3
edge increased by 2cm
9+2=11cm
new volume=11×11×11
1331cm3
hence volume increased by 1331-729
=602cm3
hence the space inside the box increased by 602cm3

Answer 2

The space inside the box increased by 602 cm³.

Step-by-step explanation:

Given : The edge of a cubical box is 9 cm.

To find : How much space is increased in the box if the edge of the box is increased by 2 cm ?

Solution :

The edge of a cubical box is 9 cm.

The volume of the box is $V=s^3$

$V=9^3$

$V=729\ cm^3$

The edge of the box is increased by 2 cm.

i.e. S=9+2=11 cm

The volume of increased edge,

$V'=S^3$

$V'=11^3$

$V'=1331\ cm^3$

The volume increased in the box is

$V_i=V'-V$

$V_i=1331-729$

$V_i=602\ cm^3$

Therefore, the space inside the box increased by 602 cm³.

#Learn more

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