Question

A water tank is in the form of cuboid whose length is 1.5 m , height is 2 m and Breath is 7 m. Find the quantity of water in liters that can be stored in the tank?

Answer 1

Answer :

21000 liters

Solution :

Given :

• Length(L) of cuboidal water tank = 1.5 m
• Breadth(B) of cuboidal water tank = 7 m
• Height(H) of cuboidal water tank = 2 m

To find :

• The quantity of water (i.e. the volume(V)) in liters that can be stored in the tank .

We know that ,

The volume V of cuboid with length L , breadth B and height H is given by V = L × B × H .

Thus ,

The volume of the cuboidal water tank will be ;

→ V = 1.5 m × 7 m × 2 m

→ V = 21 m³

Also , 1 m³ = 1000 liters

Thus ,

The volume of the tank in liters will be ;

→ V = 21 × 1000 liters

→ V = 21000 liters

Hence ,

21000 liters of water can be stored in the tank .

Some important information :

• A cuboid is a three dimensional (3D) shape which can be considered as rectangular prism .

• A cuboid has 6 faces , 8 vertices and 12 edges .

• Let the length , breadth and height of a cuboid be L , B and H respectively , then

1. Length of diagonal , D = √(L² + B² + H²)
2. Volume , V = L×B×H
3. Lateral surface area , LSA = 2(L + B)H
4. Total surface area , TSA = 2(LB + BH + HL)