Step-by-step explanation: The volume of the pyramid is defined by the formula v = ( b·h ) / 3 , where b is the surface of the base of the pyramid, and h is the altitude of the pyramid. The multiplied values of the surface of the base and the altitude is divided by three, and the value obtained represents the volume of the pyramid. Since the values of the base surface and the altitude are given, it is only necessary to insert the given values in the formula:
b = 36 in²
h = 11 in
v = ( 36 in²·11 in) / 3 = 132 in³
From the given values it can be seen that the surface of the base b is given in square inches, while the altitude value h is in inches, the result that represents the value of the volume is given in cubic inches.