Respuesta :
Answer:
D. [tex]\text{850 cm}^3[/tex]
Step-by-step explanation:
We have been given that 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.
The volume of the composite figure will be equal to the volume of rectangular pyramid plus the volume of rectangular prism.
[tex]\text{Volume of composite figure}=\text{Volume of rectangular pyramid+Rectangular prism}[/tex]
[tex]\text{Volume of composite figure}=\frac{l*w*h}{3}+l*w*h[/tex], where,
l = Length,
w = Width,
h = Height
[tex]\text{Volume of composite figure}=(\frac{\text{15 cm*5 cm*13 cm}}{3})+\text{15cm*5cm*7cm}[/tex]
[tex]\text{Volume of composite figure}=(\text{5 cm*5 cm*13 cm})+\text{15cm*5cm*7cm}[/tex]
[tex]\text{Volume of composite figure}=\text{325 cm}^3+525 cm}^3[/tex]
[tex]\text{Volume of composite figure}=\text{850 cm}^3[/tex]
Therefore, the volume of composite figure will be 850 cubic cm and option D is the correct choice.
