Question

what is the volume? 11.9 cm 17.2 cm 11.4 cm cubic centimeters

Explanation:

Step1: Recall volume formula for triangular - prism

The volume formula for a triangular prism is $V=Bh$, where $B$ is the area of the base and $h$ is the height of the prism. The base is a triangle, and the area of a triangle is $B = \frac{1}{2}ah$, where $a$ is the base of the triangle and $h$ is the height of the triangle. Here, the base of the triangle $a = 11.9$ cm and the height of the triangle is $11.4$ cm, and the height of the prism is $17.2$ cm.

Step2: Calculate the area of the base triangle

$B=\frac{1}{2}\times11.9\times11.4=\frac{11.9\times11.4}{2}=\frac{135.66}{2}=67.83$ $cm^{2}$

Step3: Calculate the volume of the prism

$V = Bh=67.83\times17.2 = 1166.676$ $cm^{3}$

Answer:

$1166.676$