Question

2. The total surface area of a cube is 150 cm2. Its volume is​

Answer 1

$\bf {\underline {\underline{✤QƲЄƧƬƖƠƝ}}}$

The total surface area of a cube is 150 cm². Then find the volume of Cube.

$\bf {\underline {\underline{✤ ƛƝƧƜЄƦ}}}$

➡ Volume of Cube is 125cm³

$\bf {\underline {\underline{✤ ƓƖƔЄƝ}}}$

• T.S.A of Cube = 150cm²

$\bf {\underline {\underline{✤ ƬƠ \: \: ƇƛLƇƲLƛƬЄ}}}$

• Volume of Cube

$\bf {\underline {\underline{✤ ƑƠƦMƲLƛ \: \: ƬƠ \: ƁЄ \: \: ƲƧЄƊ}}}$

T.S.A of Cube

$\bf6 \times {side}^{2}$

Volume of Cube

$\bf{side}^{3}$

$\bf {\underline {\underline{✤ SƠԼƲƬƖƠƝ}}}$

In this question T.S.A of Cube is given and we have to find volume of Cube.

So, let's start

$\bf T.S.A \: of \: Cube = 6 \times {side}^{2}$

$\bf \implies 150 {cm}^{2} = 6 \times {sides}^{2}$

$\bf \implies 150 \div 6 = {side}^{2}$

$\bf \implies {side}^{2} = 25$

$\bf \implies side = \sqrt{25}$

$\bf \implies side = 5cm$

Volume of Cube

$\bf \implies {side}^{3}$

$\bf \implies 5 \times 5 \times 5$

$\bf \implies 125 {cm}^{3}$

Therefore, Volume of Cube is 125cm³.

$\bf \pink{hope \: } \purple{it \: } \blue{helps \: } \red{uh..}$

Answer 2

Step-by-step explanation:

✤QƲЄƧƬƖƠƝ

The total surface area of a cube is 150 cm². Then find the volume of Cube.

\bf {\underline {\underline{✤ ƛƝƧƜЄƦ}}}

✤ƛƝƧƜЄƦ

➡ Volume of Cube is 125cm³

\bf {\underline {\underline{✤ ƓƖƔЄƝ}}}

✤ƓƖƔЄƝ

T.S.A of Cube = 150cm²

\bf {\underline {\underline{✤ ƬƠ \: \: ƇƛLƇƲLƛƬЄ}}}

✤ƬƠƇƛLƇƲLƛƬЄ

Volume of Cube

\bf {\underline {\underline{✤ ƑƠƦMƲLƛ \: \: ƬƠ \: ƁЄ \: \: ƲƧЄƊ}}}

✤ƑƠƦMƲLƛƬƠƁЄƲƧЄƊ

T.S.A of Cube

\bf6 \times {side}^{2}6×side

2

Volume of Cube

\bf{side}^{3}side

3

\bf {\underline {\underline{✤ SƠԼƲƬƖƠƝ}}}

✤SƠԼƲƬƖƠƝ

In this question T.S.A of Cube is given and we have to find volume of Cube.

So, let's start

\bf T.S.A \: of \: Cube = 6 \times {side}^{2}T.S.AofCube=6×side

2

\bf \implies 150 {cm}^{2} = 6 \times {sides}^{2}⟹150cm

2

=6×sides

2

\bf \implies 150 \div 6 = {side}^{2}⟹150÷6=side

2

\bf \implies {side}^{2} = 25⟹side

2

=25

\bf \implies side = \sqrt{25}⟹side=

25

\bf \implies side = 5cm⟹side=5cm

Volume of Cube

\bf \implies {side}^{3}⟹side

3

\bf \implies 5 \times 5 \times 5⟹5×5×5

\bf \implies 125 {cm}^{3}⟹125cm

3

Therefore, Volume of Cube is 125cm³.

\bf \pink{hope \: } \purple{it \: } \blue{helps \: } \red{uh..}hopeithelpsuh..