Circumference 4532

The block ABCDEFGH is given, / AB / = 3.5 cm, / BC / = 4.1 cm, and the circumference of the BCGF wall is 12.4 cm. Calculate the block's area and volume.

Correct answer:

S =  60.62 cm²
V =  30.135 cm³

Step-by-step explanation:

$$\begin{gathered} a=3.5 \\ b=4.1 \\ c=(12.4-2\cdot b)/2=(12.4-2\cdot 4.1)/2=\frac{21}{10}=2.1 \\ S=2\cdot (a\cdot b+b\cdot c+a\cdot c)=2\cdot (3.5\cdot 4.1+4.1\cdot 2.1+3.5\cdot 2.1)=60.62{\text{cm}}^2 \end{gathered}$$

$V=a\cdot b\cdot c=3.5\cdot 4.1\cdot 2.1=30.135{\text{cm}}^3$

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