Arectangular pyramid fits exactly on top of a rectangular prism. the prism has length 15 cm, width 5 cm, and height 7 cm, and the pyramid has height 13 cm. find the volume of the composite space figure.

a) 1500 cm3
b) 500 cm3
c) 2275 cm3
d) 850 cm3

Volume of composite figure =  850 cubic cm.

Step-by-step explanation:

Given : A rectangular pyramid fits exactly on top of a rectangular prism. The prism has length 15 cm, width 5 cm, and height 7 cm, and the pyramid has height 13 cm.

To find  : Find the volume of the composite space figure.

Solution : We have given that

Prism length 15 cm

Width =  5 cm.

Height = 7 cm.

pyramid height = 13 cm

Width = 5 cm

Length = 15 cm.

Volume of composite space = volume of prism + volume of pyramid .

Volume of composite space = (l* b * h )+( .

Plugging the values of length , width , height

Volume of composite figure = ( 15* 5 *7 ) +( tex]\frac{1}{3} 15 * 5 * 13)[/tex] .

Volume of composite figure = (525 ) +( 325)

Volume of composite figure =  850 cubic cm.

Therefore, Volume of composite figure =  850 cubic cm.

2

step-by-2step explanation:

ou would have 12 of each