The prism shown has a volume of 35cm³. Work out the height of the triangular cross section. The length going back is 7cm and the bottom section of the triangular cross section is 4cm.

2.5 cm

Step-by-step explanation:

The volume of a triangular prism is cross section * length.

The cross section area is the triangle area. The triangle length is 4 cm, the height is not given. The length of the triangular prism is 7cm.

4 * h * 1/2 * 7 = 35

14h = 35

h = 35/14

h = 5/2

The height of the triangular cross section is 2.5 cm.