Sand pedestal

The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1m*4m*90cm.

Final Answer:

V =  3.6 m³
S =  17 m²

Step-by-step explanation:

$$\begin{gathered} a=1\text{m} \\ b=4\text{m} \\ c=90\text{cm}\to \text{m}=90:100\text{m}=0.9\text{m} \\ V=a\cdot b\cdot c=1\cdot 4\cdot 0.9=3.6{\text{m}}^3 \end{gathered}$$

$S=2\cdot (a\cdot b+b\cdot c+c\cdot a)=2\cdot (1\cdot 4+4\cdot 0.9+0.9\cdot 1)=17{\text{m}}^2$

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