How-much-the-long-of-the-diagonal-space-if-total-area-of-a-cube-is-216-cm-2-

Question Number 157981 by zainaltanjung last updated on 30/Oct/21

How much the long of the diagonal

space, if total area of a cube is

216 {cm}^{2} .

Answered by cherokeesay last updated on 30/Oct/21

t h e a r e a o f o n e f a c e o f c u b e :

216 \div 6 = 36 {c m}^{2}

(a = 6 c m) i s a s i d e o f s q u a r e .

d i s a d i a g o n a l

d^{2} = a^{2} + {(a \sqrt{2})}^{2} \Rightarrow

d = \sqrt{a^{2} + 2 a^{2}} = a \sqrt{3} = 6 \times 1, 732 = 10, 392 c m

Commented by zainaltanjung last updated on 30/Oct/21

Ok . {it}^{'} s true sir . good job