Aprism has two times the volume of a pyramid with the same base and altitude. true or false?

The statement is False

Step-by-step explanation:

we have that

step 1

Find the volume of the prism

The volume of the prism is equal to

where B is the area of the base

h is the height of the prism

step 2

Find the volume of the pyramid

The volume of the pyramid is equal to

therefore

The prism has three times the volume of the pyramid

The statement is False

ok

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.