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6 Cubes and Cube Roots

Learning Objectives

After studying this chapter, students will be able to... Scan to learn
 recall cubes and learn to identify the perfect cubes (cube numbers)
 understand the properties of cube numbers
 recognise some interesting patterns of cube numbers
 find cube roots using different methods
 estimate the cube roots

get ready!

Vishnu’s father wants to build a rainwater harvesting tank to collect rainwater for planting and house-
hold use.

To collect
rainwater, I
want to build
an underground
cubical water
tank that should
hold at least
200 cu.m of
water. There is a
space of 36 sq.m Since the space in the backyard is a
in the backyard. square of area 36 sq.m, so, the length
We can construct and the breadth of the space are
it there. 6 m each. If we keep it 6 m deep,
then the capacity of the cubical tank
What will be formed would be 6 × 6 × 6 = 216
the cu.m > 200 cu.m. Thus, we can
dimensions of easily construct the required tank.
the tank?

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