Volume of Pyramid is given by 1/3 base area x height
From the figure we see the base have equal side x so it is a square .Are of
Base = area of square.
Area of base = area of square = x .x = x2
Volume of Pyramid = 1/3 . base area .height
Volume of Pyramid = 972 cubic inches given.
Height of Pyramid= ½ x inches .
Substituting the values of volume ,height and base area we have:
972=1/3 .x2.1/2 x.
972=1/6 x3
Multiplying both sides by 6 we have:
5832=x3
Taking cuberoot of both sides.
X=18in
Length of the side of base is x= 18in each height is ½ x = ½ .18= 9 in