Question

find the volume of a cube whose total surface area is 600 cm^2​

Answer 1

Step-by-step explanation:

hope this helps........

Answer 2

Answer:

$\red { Volume \:of \:the \:cube }\green {=1000 \:cm^{3}}$

Step-by-step explanation:

$Let \: side \: of \: a \:cube = a \:cm$

$Total \: surface \:area \:the \:cube = 600\:cm^{2}$

$\implies 6a^{2} = 600$

$\implies a^{2} = \frac{600}{6}$

$\implies a^{2} = 100$

$\implies a = \sqrt{100} = 10 \:cm$

$\red { Volume \:of \:the \:cube }= a^{3}$

$= 10^{3}\\= 1000 \:cm^{3}$

Therefore.,

$\red { Volume \:of \:the \:cube }\green {=1000 \:cm^{3}}$

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