Answer:
Volume of the pyramid: 16 cubed inches
Volume of the cube: 64 cubed inches
Total volume: 80 cubed inches
Step-by-step explanation:
I used the formulas for the cube and square pyramid.
Formulas
Cube: a³
Square pyramid: a2 (h over 3)
Hope this helps!
Answer:
Volume of Figure; 80 cubic inches
Step-by-step explanation:
Calculate the volume of this square pyramid firstly, through the basic volume formula Base * height , but divide by 3 for it is a pyramid, one - third of a cube;
Base ⇒ length * width = 4 in * 4 in = 16 inches^2,
Volume of Square Pyramid ⇒ ( Base * height ) / 3, ( 16 inches^2 * height ) / 3, ( 16 * 3 ) / 3 = 48 / 3 ⇒ 16 cubic inches
Now let us compute the volume of this cube, dimensions 4 by 4 by 4 provided a formula Base * height;
Base ⇒ length * width = 4 in * 4 in = 16 inches^2,
Volume of Cube ⇒ ( Base * height ) = ( 16 inches^2 * 4 inches^2 ) = 16 * 4 ⇒ 64 cubic inches
The volume of this Composite Figure is thus; Volume of Pyramid + Volume of Cube = 16 in^3 + 64 in^3 = 80 cubic inches,
Volume of Figure; 80 cubic inches
