9514 1404 393
Answer:
153.6 mm³
Explanation:
The volume of a prism is given by the formula ...
V = Bh . . . . . . where B is the area of the base, and h is the height
The area of the triangular base is given by the formula ...
A = 1/2bh . . . . where b and h are the base and height of the triangle
For a right triangle, the lengths of the legs can be used for the base and height.
The base area is ...
A = (1/2)(6 mm)(8 mm) = 24 mm²
Then the volume is ...
V = (24 mm²)(6.4 mm) = 153.6 mm³