Cuboid - volume, diagonals

The length of the one base edge of cuboid a is 3 cm. Body diagonal is ut=13 cm and diagonal of cuboid's baseis u1=5 cm. What is the volume of the cuboid?

Correct result:

V =  144 cm3

Solution:

a=3 cm u1=5 cm b=u12−a2=52−32=4 cm c=132−u12=132−52=12 cm V=a⋅ b⋅ c=3⋅ 4⋅ 12=144 cm3

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