Question

volume of a cuboid is 12 cm^3 find the volume of a cuboid whose sides are double of the cuboid.​

Answer 1

$\bf\large{\underline{Question:-}}$

volume of a cuboid is 12 cm^3 find the volume of a cuboid whose sides are double of the cuboid.

$\bf\large{\underline{Given:-}}$

• Volume $\tt 12cm^3$

$\bf\large{\underline{To\:find:-}}$

• Find the new volume of cuboid when we double the sides=?

$\bf\large{\underline{Solution:-}}$

Let,

• Length = l
• breadth = b
• height = h

Volume = l×b×h=12 (Given)

$\bf\large{\underline{According\:to\:Question:-}}$

When we double the sides then,

• Length = 2l
• breadth = 2b
• height = 2h

Now,

New Volume of cuboid = 2l×2b×2h

$\tt→ 8(lbh)\\\tt→ 8(12)\\\tt→ 96cm^3$

Hence,

volume of cuboid =$\tt→ 96cm^3$

Answer 2

Given :

• Volume of cuboid = 12 cm³.

To find :

• The volume of a cuboid whose sides are double of the cuboid =?

Step-by-step explanation :

It is Given that,

Volume of cuboid = 12 cm³.

Let, Length of the cuboid be, l

Then, the breadth of the cuboid be, b

And, the height of cuboid be, h

As We know that,

The volume of cuboid = Length x Breadth x Height = lbh

According to the question :

Volume =  Length x Breadth x Height  = lbh = 12

As per question when double the sides,

= 2l x 2b x 2h

= 8lbh [ ∵ lbh = 12]

= 8 x 12

= 96.

Therefore, the volume of ne cuboid = 96 cm³