Prism pyramid volume

Calculate the body's volume, consisting of a prism and a pyramid with the same square base with an edge of 8 cm. The prism is 20 cm high, and the pyramid is 15 cm.

Final Answer:

V =  1600 cm³

Step-by-step explanation:

$$\begin{gathered} a=8\text{cm} \\ {c}_1=20\text{cm} \\ {c}_2=15\text{cm} \\ S=a^2=8^2=64{\text{cm}}^2 \\ {V}_1=S\cdot c_1=64\cdot 20=1280{\text{cm}}^3 \\ {V}_2=\frac{1}{3}\cdot S\cdot c_2=\frac{1}{3}\cdot 64\cdot 15=320{\text{cm}}^3 \\ V=V_1+V_2=1280+320=1600{\text{cm}}^3 \end{gathered}$$

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