Monica Capoor Solutions for Chapter: Cubes and Cube Roots, Exercise 2: EXERCISE

Evaluate ${\left(5\frac{2}{7}\right)}^3$

Evaluate ${\left(-0.06\right)}^3$

Evaluate the following.

${\left(-1.6\right)}^3$

The volume of the cube is $1331 {\mathrm{cm}}^3$. If the length of its edge is $k \mathrm{cm}$, then find the value of $k$.

How many pencil boxes of dimensions $15 \mathrm{cm}\times 5 \mathrm{cm}\times 2 \mathrm{cm}$ can be packed in a carton each of whose edge is $30 \mathrm{cm}$?

Observe the following pattern.

$2^3-1^3=1+2\times 1\times 3$

$3^3-2^3=1+3\times 2\times 3$

$4^3-3^3=1+4\times 3\times 3$

Using the pattern, find the value of ${81}^3-{80}^3$

Observe the following pattern.

$2^3-1^3=1+2\times 1\times 3$

$3^3-2^3=1+3\times 2\times 3$

$4^3-3^3=1+4\times 3\times 3$

Using the pattern, find the value of ${95}^3-{94}^3$

Observe the following pattern.

$2^3-1^3=1+2\times 1\times 3$

$3^3-2^3=1+3\times 2\times 3$

$4^3-3^3=1+4\times 3\times 3$

Using the pattern, find the value of ${100}^3-{99}^3$