Dimensions - building

The H-shaped building consists of 3 parts. Two identical components have the following dimensions: height 805 cm, width 525 cm, and length 15 m.
The third cube-shaped part is 7 m wide.
What is the total volume of the building in cubic meters?

Final Answer:

V =  1610.875 m³

Step-by-step explanation:

$$\begin{gathered} a=805\text{cm}\to \text{m}=805:100\text{m}=8.05\text{m} \\ b=525\text{cm}\to \text{m}=525:100\text{m}=5.25\text{m} \\ c=15\text{m} \\ w=7\text{m} \\ {V}_1=a\cdot b\cdot c=8.05\cdot 5.25\cdot 15=\frac{10143}{16}=633.9375{\text{m}}^3 \\ {V}_2=w^3=7^3=343{\text{m}}^3 \\ V=2\cdot V_1+V_2=2\cdot 633.9375+343=1610.875{\text{m}}^3 \end{gathered}$$

Try another example