Question

The base of a square pyramid has a side length of 6 inches. The height of the pyramid is 12 inches. What is the volume of the pyramid?

  A. 108 in3   B. 36 in3   C. 72 in3   D. 144 in3

Answer 1

`a=6 \ in ,\ \ h= 12 \ in \\ \\Volume = (1)/(3) B \cdot h \\ \\B \ is \ the \ area \ of \ the \ base \\h \ is \ the \ height \\ \\ B =a^2 \\ \\V =(1)/(3)\cdot a^2\cdot h =(1)/(3)\cdot 6^2 \cdot 12=36\cdot 4 = 144 \ in^3 \\ \\Answer : \ D. 144 in^3`