What is the volume of a rectangular prism with a height of 22 1/2 centimeters and a base area of 562 1/2 square centimeters?

a) 12,365 1/4 cm³

b) 12,364 1/2 cm³

c) 12,645 cm³

d) 12,656 1/4 cm³

The correct answer is D. You can solve this by multiplying the values.

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