The base of a triangular prism with sides 6, 8 and 10 cm. Find the volume of prism (in cm*3), if its height is 15 cm.

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

360 cm^3

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Use of formula V=1/4* h* sqrt (-a^4+2*(a*b)^2+2*(a*c)^2﹣b4+2*(b*c)^2﹣c^4)