# SOLVING WORD PROBLEMS INVOLVING VOLUME OF CUBES

## About "Solving Word Problems Involving Volume of Cubes"

Solving Word Problems Involving Volume of Cubes :

Here we are going to see some practice questions solving mensuration word problems with the shape cubes.

Volume of cube  =  a3

## Solving Word Problems Involving Volume of Cubes - Practice questions

Question 1 :

Find the volume of a cube each of whose side is (i) 5 cm (ii) 3.5 m (iii) 21 cm

Solution :

(i) 5 cm

Volume of cube  =  a3

=  53

Volume of cube  =  125 cm3

(ii) 3.5 m

=  3.53

Volume of cube  =  42.875 cm3

(iii) 21 cm

=  213

Volume of cube  =  9261 cm3

Question 2 :

A cubical milk tank can hold 125000 litres of milk. Find the length of its side in metres.

Solution :

Volume of cubical milk tank  =  125000 liters

1 m3  =  1000 liter

Volume of tank in m3 =  125000/1000

a3  =  125

a  =  5 m

Question 3 :

A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid.

Solution :

Volume of cube  =  Volume of cuboid

a3  =  153

Volume of cube  =  3375

length x breadth x height  =  3375

25 x breadth x 9  =  3375

=  15 m

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