Quadrilateral prism

The surface of the regular quadrilateral prism is 8800 cm², the base edge is 20 cm long. Calculate the volume of the prism

Correct answer:

V =  40000 cm³

Step-by-step explanation:

$$\begin{gathered} S=8800{\text{cm}}^2 \\ a=20\text{ cm } \\ {S}_1=a^2=20^2=400{\text{cm}}^2 \\ S=2\cdot S_1+4\cdot a\cdot c \\ c={\displaystyle \frac{S-2\cdot S_1}{4\cdot a}}={\displaystyle \frac{8800-2\cdot 400}{4\cdot 20}}=100\text{ cm } \\ V=S_1\cdot c=400\cdot 100=40000{\text{cm}}^3 \end{gathered}$$

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