Perpendiculars 2756

Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2cm. The height of the body is 0.3 dm.

Correct answer:

V =  3.6 cm³
S =  18.9971 cm²

Step-by-step explanation:

$$\begin{gathered} a=1.2 \\ b=2 \\ P=a\cdot b/2=1.2\cdot 2/2=\frac{6}{5}=1.2 \\ v=3 \\ c=\sqrt{a^2+b^2}=\sqrt{1.2^2+2^2}\doteq 2.3324 \\ V=P\cdot v=1.2\cdot 3=3.6{\text{cm}}^3 \end{gathered}$$

$S=2\cdot P+(a+b+c)\cdot v=2\cdot 1.2+(1.2+2+2.3324)\cdot 3=18.9971{\text{cm}}^2$

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