Prism X

The prism with the edges of the lengths x cm, 2x cm and 3x cm has volume 20250 cm3. What is the area of surface of the prism?

Correct result:

S =  4950 cm2

Solution:

V=20250 cm3  V=abc=x⋅ 2x⋅ 3x=6x3 x=V63=2025063=15 cm a=x=15=15 cm b=2⋅ x=2⋅ 15=30 cm c=3⋅ x=3⋅ 15=45 cm S=2⋅ (a⋅ b+b⋅ c+a⋅ c)=2⋅ (15⋅ 30+30⋅ 45+15⋅ 45)=4950 cm2

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Savage Math Hacker 21
i think that all math is great but cubes graphic is better.????????

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Dr Math
graphics fixed

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