Surface and volume od cuboid

Content area of the square base of cuboid is Sp = 36 cm² and its height 80 mm. Determine its surface area and volume.

Correct answer:

S =  264 cm²
V =  288 cm³

Step-by-step explanation:

$$\begin{gathered} S_1=36{\text{cm}}^2 \\ v=80\text{ mm}\to \text{ cm}=80\mathrm{/}10\text{ cm}=8\text{ cm } \\ a=\sqrt{S_1}=\sqrt{36}=6\text{ cm } \\ o=4\cdot a=4\cdot 6=24\text{ cm } \\ {S}_2=o\cdot v=24\cdot 8=192{\text{cm}}^2 \\ S=2S_1+S_2=2\cdot 36+192=264{\text{cm}}^2 \end{gathered}$$

$V=S_1\cdot v=36\cdot 8=288{\text{cm}}^3$

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