Answer:
[tex]v = {210cm}^{3} [/tex]
Step-by-step explanation:
Formula for finding the volume of a triangular prism is given as:
[tex]v = \frac{1}{2} \times b \times h \times l[/tex]
where,
b = breadth = 7cm
h = height = 6cm
l = length = 10cm
Thus,
[tex]v = \frac{1}{2} \times 7cm \times 6cm \times 10cm[/tex]
[tex]v = \frac{1}{2} \times 420 {cm}^{3} [/tex]
[tex]v = \frac{ {420cm}^{3} }{2} [/tex]
[tex]v = {210cm}^{3} [/tex]