Question

find the volume and surface area of largest cube that can be curved out of solid wood en sphere of radius 6√3​

Answer 1

Answer:

diagonal of the cube = 12v 3

diagnal at the Cube = av3=12v 3

a=12V3/3=12

side of the Cube=12cm

Vol. of Cube = a^3=12^3 =1728cm3

surface area=6a^2 = 6x12^2 = 864cm2

Answer 2

Answer:

The answer is given below

Step-by-step explanation:

r= 6$\sqrt3$ cm

2r=12$\sqrt3$ cm

[Longest diagonal=$\sqrt3$a.$12^{3$

Longest diagonal= Diameter

$\sqrt3$a = 12$\sqrt3$

cancel root 3 from both side

a=12cm

volume of cube= $a^{3$

= $12^{3}$= 1728cm$^{3}$

TSA of cube= 6$a^{2}$=6* $12^{2}$= 6*144=864 sq cm.