Perimeter 20263

The base of the block has the shape of a rectangle 2.6 m long and 2.2 m wide. The block's height is 1/8 of the base's perimeter. Calculate the volume and area of ​​the block.

Correct answer:

V =  6.864 m³
S =  22.96 m²

Step-by-step explanation:

$$\begin{gathered} a=2.6\text{m} \\ b=2.2\text{m} \\ o=2\cdot (a+b)=2\cdot (2.6+2.2)=\frac{48}{5}=9.6\text{m} \\ c=\frac{1}{8}\cdot o=\frac{1}{8}\cdot \frac{48}{5}=\frac{1\cdot 48}{8\cdot 5}=\frac{48}{40}=\frac{6}{5}=1.2\text{m} \\ V=a\cdot b\cdot c=2.6\cdot 2.2\cdot 1.2=\frac{858}{125}{\text{m}}^3=6.864{\text{m}}^3 \end{gathered}$$

$S=2\cdot (a\cdot b+b\cdot c+c\cdot a)=2\cdot (2.6\cdot 2.2+2.2\cdot 1.2+1.2\cdot 2.6)=22.96{\text{m}}^2$

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