Question

Find the volume of a cube whose surface area is 150 m2.​

Answer 1

Answer:

125 m cube is the volume of this cube.

Answer 2

Answer:

$\red\bigstar$ Volume of the cube = 125m³.

✳SOLUTION✳

Given the surface area of the cube = 150m².

We have to find the volume of the cube.

Surface area of a cube = 6a²

∴ 6a² = 150

$\implies$

$\sf a^2 = \dfrac{150}{6}$

$\sf \implies$

a² = 25

∵ a² = 25

$\sf a = \sqrt{25} = 5$

$\red\bigstar$ Therefore, the side (a) of the cube = 5m.

✳THE CUBE IS

$\setlength{\unitlength}{4mm}\begin{picture}(10,6)\thicklines\put(0,1){\line(0,1){10}}\put(0,1){\line(1,0){10}}\put(10,1){\line(0,1){10}}\put(0,11){\line(1,0){10}}\put(0,11){\line(1,1){5}}\put(10,11){\line(1,1){5}}\put(10,1){\line(1,1){5}}\put(0,1){\line(1,1){5}}\put(5,6){\line(1,0){10}}\put(5,6){\line(0,1){10}}\put(5,16){\line(1,0){10}}\put(15,6){\line(0,1){10}}\put(4.6,-0.5){\bf\large 5 m}\put(13.5,3){\bf\large 5m}\put(-4,5.8){\bf\large 5m}\end{picture}$

✳Volume of the Cube

Volume of Cube = a³

Here, a = 5m.

$\blue\bigstar$ Volume of the cube = 5³ = 125m³.