A rectangular container whose base is a square of side 6 cm stands on a horizontal table and holds w...

Question

A rectangular container whose base is a square of side 6 cm stands on a horizontal table and holds water up to 1 cm from the top When a cube is placed in the water and is completely submerged the water rises to the top and of water overflows calculate the volume of the cube

Accepted Answer

If the base of the rectangular container is a square

l = 6 cm and b = 6 cm

When a cube is placed in it, the water rises to the top i.e. through height 1 cm and $2 \mathrm{cm}^{3}$

M L Aggarwal - Understanding ICSE Mathematics - Class 9 chapter Mensuration Question 7 Solution image

We know that

Volume of cube = Volume of water displaced

Substituting the values ML Aggarwal Solutions for Class 9 Maths Chapter 16 -

Mensuration

= 6 × 6 × 1 + 2

= 36 + 2

$=38 \mathrm{cm}^{3}$

ML Aggarwal Solutions Class 9 Mathematics Solutions for Mensuration Exercise 16.4 in Chapter 16 - Mensuration