Explanation:
the shape of a triangular prism.
this is like a flat 2D triangle simply stretched high out.
the volume of any such shape (basic 2D shape stretched up) is always
ground area × height.
the ground area here is the area of the basic triangle.
the area of a triangle is
baseline × height / 2
the baseline here is 2.5 in.
the height here is 4.75 in.
so, the area of the basic triangle is
2.5 × 4.75 / 2 = 5.9375 in²
we know the actual volume : 11.875 in³
so, we know
5.9375 × h = 11.875
h = 11.875 / 5.9375 = 2 in
the height of the cheese wedge is 2 in.