Triangular prism

Calculate the volume of a triangular prism 10 cm high, the base of which is an equilateral triangle with dimensions a = 5 cm and height va = 4,3 cm

Correct answer:

V =  107.5 cm³

Step-by-step explanation:

$$\begin{gathered} h=10\text{ cm } \\ a=5\text{ cm } \\ v=4.3\text{ cm } \\ {S}_1=a\cdot v\mathrm{/}2=5\cdot 4.3\mathrm{/}2={\displaystyle \frac{43}{4}}=10.75{\text{cm}}^2 \\ V=S_1\cdot h=10.75\cdot 10={\displaystyle \frac{215}{2}}={\displaystyle \frac{215}{2}}{\text{cm}}^3=107.5{\text{cm}}^3 \end{gathered}$$

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