Question

Cavalieri's principle states that two solids with equal heights and base areas have equal volumes. A.True B.False

Answer 1

Answer:

So, the following statement is a TRUE statement.

Step-by-step explanation:

In geometry Cavalieri's priciple states that:

Cavalieri's Principle: If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal.

Hence, the given statement:

Cavalieri's principle states that two solids with equal heights and base areas have equal volumes is a TRUE statement.

Answer 2

Answer:

The answer is true.

Step-by-step explanation:

Given the statement about the Cavalieri's principle we have to tell is it true or false.

Cavalieri's principle states that:

If in two solids of equal height, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal.

Very common example of Cavalleri's principle.

If two triangles are formed on base of equal length and are between same parallel lines i.e have same height, then the triangles are of equal area.

Hence, the given statement:

Cavalieri's principle states that two solids with equal heights and base areas have equal volumes is a TRUE statement.