Question

Q1. The Total surface area of a cube is 150 Cm', then its volume is:
(a) 125 Cm (b) 120 cm
(c) 110 cm
(d) None of these​

Answer 1

Answer:

Volume of cube is: a) 125 cubic cm

Step-by-step explanation:

$6l {}^{2} = 150$

$l {}^{2} = \frac{150}{6}$

$l = \sqrt{25}$

$l = 5 \: cm$

$volume \: of \: cube \: = l {}^{3}$

= 5×5×5

= 125 cubic cm

Hope, it will helpful for you !!

Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

The Total surface area of a cube is 150 Cm²', then its volume is:

(a) 125 Cm (b) 120 cm

(c) 110 cm

(d) None of these

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{Given}}}}$

• Total surface area of cube = 150 cm²

$\Large{\underline{\mathfrak{\bf{Find}}}}$

• volume of cube

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

Let, Side of cube = x cm.

We have,

$\small\boxed{\sf{\orange{\:Surface\:area_{cube}\:=\:6\times (side_{cube})^2}}} \\ \\ \mapsto\sf{\:150\:=\:6\times (side_{cube})^2} \\ \\ \mapsto\sf{\:(side_{cube})^2\:=\:\dfrac{150}{6}} \\ \\ \mapsto\sf{\:(side_{cube})^2\:=\:25} \\ \\ \mapsto\sf{\:(side_{cube})\:=\:\sqrt{25}} \\ \\ \mapsto\bold{\sf{\pink{\:(side_{cube})\:=\:5\:cm}}}$

Now, we calculate

$\Large{\underline{\mathfrak{\bf{\green{\:volume\:of\:cube}}}}} \\ \\ \small\boxed{\sf{\orange{\:volume_{cube}\:=\:(side_{cube})^3}}} \\ \\ \small\sf{\:keep\:value\:of\:(side_{cube})} \\ \\ \mapsto\sf{\:volume_{cube}\:=\:(5)^3} \\ \\ \mapsto\bold{\sf{\pink{\:volume_{cube}\:=\:125\:cm^3\:\:\:\:\:Ans.}}}$