Question

A rectangular box has a volume of 140m,its breadth is 4m and height 5m. Find its length

Answer 1

Given:

• Volume of a rectangular box ( cuboid ) = 140 m

• Breadth of cuboid ( b ) = 4 m

• Height of cuboid ( h ) = 5 m

To find out:

Find the length of given rectangular box ?

Formula used:

Volume of cuboid = length × breadth × height

Solution:

Let the length of rectangular box be l .

According to the question,

Volume of cuboid = length × breadth × height

Substituting the values in the above formula, we get

⇒ 140 = length × 4 × 5

⇒ 140 = length × 20

⇒ length = 140/20

⇒ length, l = 7 m

Additional information:

• Perimeter of the cuboid = 4 ( l + b + h )

• Total surface area of the cuboid = 2 ( lb + bh + hl )

• Lateral ( or Curved ) surface area of the cuboid = 2 ( l + b ) × h

Answer 2

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

• Volume of rectangular box = 140m

• Breadth of cuboid = 4m

• Height of cuboid = 5m

$\large\underline\mathrm{To \: find}$

• Find the length of given rectangular box?

$\large\underline\mathrm{Solution}$

• Volume of cuboid. = length × breadth × height.

$\implies$ 140 = length × 4 × 5

$\implies$ 140 = length × 20

$\implies$ length = 140/20

$\implies$ length = 7m