Faces diagonals

Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces).

Solve for x=1.6, y=1.8, z=1.6

Final Answer:

V =  1.5706

Step-by-step explanation:

x=1.6 y=1.8 z=1.6  x2 = a2+b2 y2 = b2+c2 z2 = a2+c2  a2 = x2 − b2 = x2−y2+c2 = x2−y2+z2−a2 2a2 = x2−y2+z2  a=2x2−y2+z2​​=21.62−1.82+1.62​​≐0.9695  … b=2x2+y2−z2​​=21.62+1.82−1.62​​≐1.2728  … c=2−x2+y2+z2​​=2−1.62+1.82+1.62​​≐1.2728  V=a⋅ b⋅ c=0.9695⋅ 1.2728⋅ 1.2728=1.5706

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algebraarithmeticsolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

 
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