Question

Find the Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is given

Answer 1

Answer:

Given

Length =2ab

Breadth =3ac

Height =2ac

Volume of cuboid = length × breadth × height

=2ab×3ac×2ac

=12a

3

bc

2

∴ Hence the correct answer is 12a

3

bc

2

.

Answer 2

$\tt{\underline{\color{teal}{Given}}}{\bigstar}$

• Length of a rectangular box= 2ab.

• Breadth of a rectangular box= 3ac.

• Height of a rectangular box= 2ac.

$\tt{\underline{\color{teal}{To \: Find}}}{\bigstar}$

• The volume of a rectangular box.

$\tt{\underline{\color{teal}{Solution}}}{\bigstar}$

We know ,

The formula of the volume of a cuboid

$\sf{length \times bredth \times height}$

$\sf{\implies 2ab \times 3ac \times 2ac \: {cm}^{3} }$

$\sf{\implies 12 {a}^{3} {c}^{2} b {cm}^{3} }$

Hence the volume of the rectangular box is $\sf{ 12 {a}^{3} {c}^{2} b {cm}^{3} }$

$</p><p>\tt{\underline{\color{teal}{ThankYou}}}{\bigstar}$