Q6. If the surcase are of the cube is1536sqcm its volume iscc."

1.	Q6. If the surcase are of the cube is1536sqcm its volume iscc."
Answer» Volume of CUBE is 4096 cm³. Step-by-step EXPLANATION: Correct Question:- If the surface area of the cube is 1536 cm². It's Volume is : _________________________________ Given:- Surface area of cube is 1536 cm². To find:- Volume of cube. Solution:- We need edge of cube for Volume of cube. So : We know that, $\boxed{\star \: \sf \bold{Total \: surface\:area \: of \: cube = 6 a^{2}}}$ In which, a is Edge or we can say side of cube. Surface area = 1536 Put , surface area in formula : $\longrightarrow \sf \bold{1536 = 6 {a}^{2} }$ $\longrightarrow \sf \bold{ \cfrac{1536}{6} = {a}^{2} }$ $\longrightarrow \sf \bold{256 = {a}^{2} }$ $\longrightarrow \sf \bold{ \sqrt{256} = a }$ $\longrightarrow \sf \bold{16 = a}$ Or, a = 16 Edge of cube is 16 cm. $\boxed{\star \: \sf \bold{Volume \: of \: cube = a^{3}}}$ $\longrightarrow \sf \bold{ {(16)}^{3} }$ $\longrightarrow \sf \bold{16 \times 16 \times 16}$ $\longrightarrow \sf \bold{4096}$ Therefore, Volume of cube is 4096 cm³.

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