Find the volume of a pyramid with a square base where the perimeter of the base is 12.8m. and the height of the pyramid is 12.5m. round your answer to the nearest tenth of a cubic meter

Step-by-step explanation:

The volume of a square pyramid is given by the equation:

where is the area of the base, in this case the area of the square. And h is the height of the pyramid:

To find the area of the square we need the length of its sides, which can be found dividing the perimeter by four.

The perimeter is:

thus, the length of the side is:

and the area of square at the base is then given by the formula:

Finally we substitute all the known values into the equation for the volume:

rounding the volume to the nearest tenth of a cubic meter:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10