Answer: 1392 in cubed
Step-by-step explanation:
Lets start by solving for the volumes separately of the square pyramid and rectangular prism. Once we have those two volumes then we can add them together to get the total volume of the shape.
Rectangular Prism:
Formula: V = l * w* h
l = 12
w = 12
h = 7
Plug in values and solve.
V = 12 * 12 * 7
V = 1,008 in cubed
Square Pyramid:
Formula: V = A * (h/3)
A = the area of the base
A = 12^2 = 144
h = 8
Plug in values and solve.
V = 144 * ( 8/3)
V = 384 in cubed
Now we can add the two volumes together.
384 + 1,008 = 1392 in cubed
