total surface area of a cube is 216 cm^2. find its volume
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Answered by
563
Total surface area = 216 cm²
Let the side of the cube = a
Thus 6a² = 216
⇒ a² = 216/6
⇒ a² = 36
⇒ a = √36
⇒ a = 6 cm
Volume = a³ cm³ = 6³ cm³ = 216 cm³
Let the side of the cube = a
Thus 6a² = 216
⇒ a² = 216/6
⇒ a² = 36
⇒ a = √36
⇒ a = 6 cm
Volume = a³ cm³ = 6³ cm³ = 216 cm³
Answered by
227
given T.S.A of cube is 216 cm2
we know that
t.s.a of cube is 6a²
but from the problem is 216cm²
so, 6a²=216
=> a²=216/6
=>a²=36
=> a=6
therefore side of the given cube is 6cm
therefore volume of cube is a³ =6³ =216
we know that
t.s.a of cube is 6a²
but from the problem is 216cm²
so, 6a²=216
=> a²=216/6
=>a²=36
=> a=6
therefore side of the given cube is 6cm
therefore volume of cube is a³ =6³ =216
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