The cube will be enlarged by a scale factor of 8. What will be the volume of the new cube?

The triangular prism has a volume of 27 cubic units.What will be the volume of the prism if each side is dilated by a factor ?

Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.The two shaded solids both have a height of 2r units. At every level, the areas of the cross sections of both solids equal π(r2 – b2).
A right cylinder has a radius of 2 units and a height of 5 units.
The oblique pyramid has a square base.
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