Cuboid's diagonal

The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid?

Final Answer:

V =  2880 cm3

Step-by-step explanation:

u=25 cm b=a+a/3  u2 = a2+b2+c2 V = abc  252 = a2+(4/3a)2+c2 a=12 cm b=4/3⋅ a=4/3⋅ 12=16 cm c=u2−a2−b2​=252−122−162​=15 cm  V=a⋅ b⋅ c=12⋅ 16⋅ 15=2880 cm3

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algebraarithmeticsolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

 
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