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The ratio of the volume of two cubes is 125 to 64. What is the ratio of their surface areas?
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the volume of a cube is defined by x^3 where x is the length of an edge the surface area of a cube is the area of a face of the cube times the number of faces, so 6x^2 5^3=125 and 4^3=64
Volume of cube is given by; \(a^3\) So find the ratio first: \[\large \frac{a_1^3}{a_2^3} = \frac{125}{64} \implies \frac{a_1}{a_2} = \frac{5}{4}\] Surface area of Cube is given by: \(\large 6a^2\) Now take the ratio of surface area: \[\large \frac{6a_1^2}{6a_2^2} = \frac{5^2}{4^2}\] Square them you will have your ratio.. Tell me what do you get?
lol weird notations =))
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