Find the volume of the toy rocket shown. The rocket consists of a prism and a pyramid

Answer: [tex]8.66in^3[/tex]Step-by-step explanation: The oy rocket shown is formed by a rectangular prism and a regular pyramid whose base is a square. The volume of the rectangular prism can be calculated with: [tex]V_{rp}=l*w*h[/tex] Where "l" is the length, "w" is the width and "h" is the height. You can observe that: [tex]l=8in\\w=1in\\h=1in[/tex] Then, you can substitute values: [tex]V_{rp}=(8in)(1in)(1in)=8in^3[/tex] The volume of the regular square pyramid can be calculated with: [tex]V_p=\frac{s^2*h}{3}[/tex] Where "s" is the lenght of a side of the base and "h" is the height of the pyramid. You can observe in the figure that: [tex]s=1in\\h=2in[/tex] Substitute into the formula. Then: [tex]V_p=\frac{(1in)^2(2in)}{3}=\frac{2}{3}in^3[/tex] The volume of the toy rocket is the sum of the volume of the rectangular prism and the volume of the regular square pyramid. Then: [tex]V_{toy}=8in^3+\frac{2}{3}in^3=8.66in^3[/tex]