Answer :
512 m^3
Step by step explanation:
[tex]given[/tex]
[tex]lateral \: surface \: area \: of \: the \: cube \: = 256m {}^{2} [/tex]
[tex]we \: know[/tex]
[tex]laterl \: surface \: of \: cube \: = 4(edge) {}^{2} [/tex]
[tex]\: 4(edge) {}^{2} = 256[/tex]
[tex] = (edge) {}^{2} = \frac{256}{4} [/tex]
[tex](edge) {}^{2} = 64[/tex]
[tex] = edge = 8[/tex]
[tex]also \: volume \: of \: the \: edge \: = (edge) { }^{3} = (8) {}^{3} = 512m.[/tex]
Answer:
Answer: If the lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters.
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Answers & Comments
Answer :
512 m^3
Step by step explanation:
[tex]given[/tex]
[tex]lateral \: surface \: area \: of \: the \: cube \: = 256m {}^{2} [/tex]
[tex]we \: know[/tex]
[tex]laterl \: surface \: of \: cube \: = 4(edge) {}^{2} [/tex]
[tex]\: 4(edge) {}^{2} = 256[/tex]
[tex] = (edge) {}^{2} = \frac{256}{4} [/tex]
[tex](edge) {}^{2} = 64[/tex]
[tex] = edge = 8[/tex]
[tex]also \: volume \: of \: the \: edge \: = (edge) { }^{3} = (8) {}^{3} = 512m.[/tex]
Verified answer
Answer:
Answer: If the lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters.