Question

find the volume of a cube whose edge is ;
1. 8 cm
2. 1.5m

Answer 1

Step-by-step explanation:

Given:-

The edges of a cube 1)8 cm ; 2)1.5 cm

To find:-

find the volume of a cube whose edge are

1. 8 cm

2. 1.5m

Solution:-

1) Given edge of a cube = 8 cm

a=8 cm

Volume of a cube = a³ cubic units

=>Volume =8³ cm³

=>Volume =8×8×8 cm³

=>Volume =512 cm³

2)Given edge of a cube = 1.5 cm

a=1.5 cm

Volume of a cube =a³ cubic units

Volume =(1.5)³ cm³

=>Volume = 1.5×1.5×1.5 cm³

=>Volume = 3.375 cm³

Answer:-

1)Volume of the cube =512 cm³

2)Volume of the cube =3.375 cm³

Used formula:-

If the edge of a cube is "a" units then the volume of the cube = a³ cubic units

Answer 2

Required Solution :-

Part 1:

Given:

• side = 8cm

we know:

$\bigstar \boxed { \sf{Volume \: of \: cube = side^3}}$

By using this formula we can find value volume of cube

$\dashrightarrow \sf{Volume \: of \: cube = side^3}$

$\dashrightarrow \sf{Volume \: of \: cube = 8^3}$

$\dashrightarrow \sf{Volume \: of \: cube = 8 \: \times 8 \: \times 8 \: }$

$\dashrightarrow \underline{\boxed{\sf{Volume \: of \: cube = 512 \: cm^3}}}$

Part 2:

Given:

• side = 1.5 cm

we know:

$\bigstar \boxed { \sf{Volume \: of \: cube = side^3}}$

By using this formula we can find value volume of cube

$\dashrightarrow \sf{Volume \: of \: cube = side^3}$

$\dashrightarrow \sf{Volume \: of \: cube =1.5^{ \: 3} }$

$\dashrightarrow \sf{Volume \: of \: cube = \bigg( \dfrac{15}{10} \bigg)^{ \: 3} }$

$\dashrightarrow \sf{Volume \: of \: cube = \bigg( \dfrac{ \cancel{15}}{ \cancel{10}} \bigg)^{ \: 3} }$

$\dashrightarrow \sf{Volume \: of \: cube = \bigg( \dfrac{3}{2} \bigg)^{ \: 3} }$

$\dashrightarrow \sf{Volume \: of \: cube =\dfrac{3 \times 3 \times 3}{2 \times 2 \times 2} }$

$\dashrightarrow \sf{Volume \: of \: cube =\dfrac{27}{8} }$

$\dashrightarrow \underline{ \boxed{\sf{Volume \: of \: cube = 3.375 {cm}^{3} }}}$