Find the volume of a pyramid with a square base, where the side length of the base is 10.9 m and the height of the pyramid is 4.7 m. Round your answer to the nearest tenth of a cubic meter.

Step-by-step explanation:

Volume of a Pyramid

The volume of a pyramid with base area Ab and height H is given by:

If the base is a square of side length L, then its area is:

Thus, substituting the above equation in the first:

The side length is L=10.9 m and the height is 4.7 m, thus the volume is:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: