A rectangle pyramid fits exactly on top of a rectangular prism. the prism has a length of 12in a width of 4in and a height of 5in the pyramid has a height of 10in find the volume of the composite space figure

A. 480in^3

B. 300in^3

C. 2400in^3

D. 400in^3

To find the complete volume you will find the volume of the rectangle or prism and the pyramid separately. Add these together for the total.

Prism:

V = lwh

12 x 4 x 5

V = 240 in.³

Pyramid:

V = 1/3Bh, B is the area of base

V = 1/3 x (12 x 4) x 10

V = 160 in.³

240 in.³ + 160 in.³ = 400 in.³ (D)