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

Question 7 Mensuration Exercise 16.4

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 2 \mathrm{cm}^{3} of water overflows, calculate the volume of the cube.

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}

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