Trapezoidal 46701

The prism with a trapezoidal base has the dimensions of the base a = 10 cm, b = d = 5 cm, c = 6 cm, the trapezoid height is 4.6 cm, and the height of the prism is 30 cm. Calculate its surface.

Correct answer:

S =  853.6 cm²

Step-by-step explanation:

$$\begin{gathered} a=10\text{cm} \\ b=5\text{cm} \\ c=6\text{cm} \\ d=b=5\text{cm} \\ v=4.6\text{cm} \\ h=30\text{cm} \\ o=a+b+c+d=10+5+6+5=26\text{cm} \\ {S}_1=\frac{a+c}{2}\cdot v=\frac{10+6}{2}\cdot 4.6=\frac{184}{5}=36.8{\text{cm}}^2 \\ S=2\cdot S_1+o\cdot h=2\cdot \frac{184}{5}+26\cdot 30=\frac{4268}{5}{\text{cm}}^2=853.6{\text{cm}}^2 \end{gathered}$$

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