Answer:
168 cm³
Step-by-step explanation:
The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.
So, the third side of the triangle = [tex]\sqrt{10^{2}-6^{2} }=8[/tex] cm.
{Since we have applied the Pythagoras theorem.}
Hence, the area of the base triangle is [tex]\frac{1}{2} \times 8 \times 6 = 24[/tex]cm².
Therefore, the volume of the prism is = [tex]24\times 7=168[/tex] cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}
(Answer)
