Question

Calculate the length of face diagonal of the cube whose side is 12√3 cm long.
What is the length of the space diagonal of that cube?​

Answer 1

Answer:

Let the side length of the cube be a.

Then length of its diagonal is d=√{a²+a²+a²}=a√3.

But, given diagonal is 6√3. Comparing both the results, we find a=6.

Now, total surface area of a cube whose side length is a, T= 6a².

Clearly, total surface area of a cube whose side length is 6, T= 6(6)²=216 cm².

not exact values but please put the values yourself and solve.❣

Answer 2

Answer:

____solution ________

$side \: of \: cube \: a \: = 12 \sqrt{3}$

$length \: of \: face \: diagonals \: = a \sqrt{2}$

$12 \sqrt{3} \times \sqrt{2}$

$12 \sqrt{6} cm$

Length of secure diagonal =

$a \sqrt{3}$

$12 \sqrt{3} \times \sqrt{3}$

$12 \times 3$

$36cm$

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