Truncated pyramid

How many cubic metres is the volume of a regular quadrilateral truncated pyramid with base edges of one metre and 60 cm and a height of 250 mm?

Final Answer:

V =  0.1633 m³

Step-by-step explanation:

$$\begin{gathered} a_1=1\text{m} \\ {a}_2=60/100=\frac{3}{5}=0.6\text{m} \\ h=250/1000=\frac{1}{4}=0.25\text{m} \\ {S}_1=a_1^2=1^2=1{\text{m}}^2 \\ {S}_2=a_2^2=0.6^2=\frac{9}{25}=0.36{\text{m}}^2 \\ V=h/3\cdot (S_1+\sqrt{S_1\cdot S_2}+S_2)=0.25/3\cdot (1+\sqrt{1\cdot 0.36}+0.36)=0.1633{\text{m}}^3 \end{gathered}$$

Try another example