Given that length of longest diagonal of a cube is 9 cm. Find the volume of the cube?

Question

A cuboid with sides in the ratio of 8:5:6 is cut perpendicular its length to form three smaller cuboids of equal sides.
If sum of the surface areas of all three cuboids is 1080 cm2 is more than the surface area of original cuboid, then what is the volume of original cuboid (in cm2)?

Answer 1

According to the condition,
x√3 = 9
⇒ x=9/√3
∴ x = 3√3
∴ Volume of the cube, *V* = (3√3)³ = 27*3√3 = 81√3

Answer 2

answer
diagonol of acube =1.73*a
a=9/1.73
volume of a cube=a^3 =140.296
140.296