Question

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.

Answer 1

2.5 cm

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.