Question

Find the volume of the triangular prism.12 cm9 cm6 cmVolume=[?] cm3

Answer 1

To find the volume of the triangular prism, we have that the formula to calculate it is as follows:

$V_{tp}=\frac{h\cdot b}{2}\cdot l$

Where:

• h is the height of the triangle which is the base of the triangular prism. In this case, h = 12cm

,

• b is the base of the triangle which is the base of the triangular prism. In this case, b = 6cm.

,

• l is the length of the triangular prism. In this case, l = 9cm.

Therefore, the volume of the triangular prism is as follows:

$\begin{gathered} V_{tp}=\frac{12\operatorname{cm}\cdot6\operatorname{cm}}{2}\cdot9\operatorname{cm} \\ V_{tp}=\frac{72\operatorname{cm}}{2}\cdot9\operatorname{cm} \\ V_{tp}=36\operatorname{cm}\cdot9\operatorname{cm} \\ V_{tp}=324\operatorname{cm}^3 \end{gathered}$

In summary, the volume of the triangular prism is 324 cm³