Apyramid is placed inside a prism as shown. the pyramid has the same base area, b, as the prism but half the height of the prism. the height of the prism is 30 feet. which expression gives the volume of the pyramid

Base area = b (ft^2)

Height of prism = 30 ft.

Volume of the prism = 30b ft^3

Height of pyramid = 30/2=15 ft

Base area of pyramid = b ft^2

Volume of pyramid = (1/3)bh=(1/3)b(15) =5b ft^3

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have