Question

Find the volume in litres of a cuboid of side length 500cm, breadth 1.4m and hegth 1m​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

• Length = 500cm
• Breadth = 1.4m
• height = 1m

To Find :

• Volume of  cuboid in litres

Formula Applied :

${\underline{\boxed{\sf{Volume_{(Cuboid)}= lbh\:cu.units}}}}$

• I = length
• b = breadth
• h = height

Solution :

• Before Substituting the values in the formula we have to convert all measure to same units. Let's convert all measures in meters‎.
• As by given Breadth and height of the cuboid are already in metre units so let's convert the measures of length alone.

‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎${\underline{\boxed{\sf{1m = 100\;cm}}}}$

$\implies \sf{500 cm = 5m = h}$

• Now substitute all the values in Volume formula of cuboid.

$\implies\sf{Volume\;of\:Cuboid =lbhm^3 }$

$\implies\sf{1.4m \times 1m \times 5m}$

${\underline{\boxed{\sf{Volume_{(Cuboid)}= 7m^3}}}}$

• Now let's convert the volume of water from cubic units to litres.

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ${\underline{\boxed{\sf{1m^3 = 1000\: litres }}}}$

$\implies \sf{7m^3 = 7 \times 1000\:litres }$

Volume of Cuboid in litres is 7000 litres.

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Related Formulas :

• $\sf{Volume\; of \;Cube = s^3\:cu.units }$
• $\sf{Volume \; of \:Cone = \frac{1}{3}\pi r^2 \;cu.units }$
• $\sf{Volume\;of\:Sphere = \frac{4}{3}\pi r^3\:cu.units }$
• $\sf{Volume \:of\:Cylider = \pi r^2 h\:cu.units}$
• $\sf{Volume\:of\:Cuboid = lbh\:cu.units}$