Question

The side of the cube is 4 CM if it is doubled how many times will the volume of the new cube compared to the original

Answer 1

Answer:

Step-by-step explanation:

a=4cm

Volume of original cube=a^3 ----©

=4^3 =64 [cm^3)

If side a is doubled,

a'=2a=8cm

Volume of new cube=a'^3

=[2a]^3

=(8)a^3 -----®

From equation © & ®=

Volume of new cube= 8×volume of original cube

=8×64 =512 (cm^3)

Answer 2

SoluTion :-

$\sf {Volume\ of\ a\ cube = Side^3}\\\\\sf {Side\ of\ cube = 4 m}\\\\\sf {Volume\ of\ original\ Cube = 4^{3} = 64 m^{3}}\\\\\sf {Side\ is\ doubled}$

$\sf {Side\ of\ New\ cube = 4 \times 2 = 8 m}\\\\\sf {Volume\ of\ new\ cube = 8^{3} = 512 m^{3}}\\\\\sf {=\frac{Volume\ of\ New\ cube}{Volume\ of\ original\ cube}$

$\sf {= \frac{512}{64}= 8}}$