Melissa has a block of wood that is a triangular prism. She is going to paint it and use it for a door stop. The dimensions of the block of wood are shown in the diagram.
16.8 w
4.8 h
14.8
8
To find the volume of the triangular prism block of wood, we use the formula V = base area * height.
First, we need to find the base area of the triangular prism. The base is a triangle with base 14.8 and height 8. To find the area of the triangle, we use the formula A = (base * height) / 2.
So, the base area is (14.8 * 8) / 2 = 118.4 / 2 = 59.2.
Next, we multiply the base area by the height of the prism:
V = 59.2 * 4.8 = 284.16.
Therefore, the volume of the triangular prism block of wood is 284.16 cubic units.