Question

according to cavalieris principle, when can two solids be considered to have equal volumes? when they have the same perimeter and height when they have the same height and surface area when they have the same base shape and height when they have the same height and cross - sectional area at every level

Explanation:

Cavalieri's principle states that if two solids have the same height and the same cross - sectional area at every level (parallel to a chosen base), then their volumes are equal.

• The perimeter of the base has no relation to the volume formula in the context of Cavalieri's principle.
• Surface area is not a factor in Cavalieri's principle for volume equality.
• The shape of the base is not the key factor; it is the cross - sectional area at every level (along with height) that matters.

Answer:

when they have the same height and cross - sectional area at every level