Question

D. The length of each side of a cube is
multiplied by 3. What is the change in the
volume of the cube?​

Answer 1

Answer:

26 times

Step-by-step explanation:

Volume of cube = a³ or v³.

So change in volume of cube = 27a³ - a³

= a³(27-1)

= 26a³

Answer 2

$\Huge{\underline{\underline{\blue{\mathfrak{Question :}}}}}$

If the length of each side of a cube is

multiplied by 3. What is the change in the volume of the cube ?

$\rule{200}{2}$

$\Huge{\underline{\underline{\blue{\mathfrak{Answer :}}}}}$

Let Dimensions of cube be

Side = a

_____________________

New Dimensions of Cube :-

Side = 3a

Formula for finding volume of cube is :

$\Large {\green{\implies}}{\boxed{\boxed{\red{\sf{Side ^3}}}}}$

Put Values

$\rule{200}{2}$

Volume of cube (old Dimensions)

⇒V = a * a * a

⇒V = a³-------(1)

$\Large{\star}{\boxed{\red{\sf{V \: = \: a^3}}}}$

$\rule{200}{2}$

Volume of cube (new Dimensions)

⇒ V'= (3a * 3a * 3a)

⇒V' = 27a³

$\Large{\star}{\boxed{\boxed{\red{\sf{V' \: = \: 27a^3}}}}}$

$\rule{200}{2}$

Change in Volume

Change in Volume = Volume of New Dimensions - Volume of old dimensions

(Put Values)

⇒ 27a³ - a³

⇒a³(27-1)

⇒26a³

$\Large{\boxed{\red{\sf{Change \: in \: Volume \: = \: 26a^3}}}}$