If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase

Complete question:

The base of a pyramid covers an area of 14.0 acres (1 acre = 43, 560 ft²  ) and has a height of 481 ft. If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height. If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase

The percentage increase of the volume is 6.45 %

Step-by-step explanation:

The volume of pyramid is calculated as;

V = bh/3

The initial volume of the pyramid is calculated as follows;

The final volume of the pyramid when the height is increased to 512 ft.

The percentage increase of the volume;

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

step-by-step explanation:

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