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if the cube above has a surface area of 54cm^3, what is the volume of the cube?
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if the cube above has a surface area of 54cm^3, what is the volume of the cube?
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Mathematics
3 years
2021-09-03T21:22:55+00:00
2021-09-03T21:22:55+00:00 1 Answers
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Answer:
27 cm³
Step-by-step explanation:
The surface area of a cube is …
SA = 6s²
Then the edge length is …
54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area
9 cm² = s² . . . . . .divide by 6
3 cm = s . . . . . . . take the square root
The volume of a cube is …
V = s³
V = (3 cm)³ = 27 cm³
The volume of the cube is 27 cm³.