To solve the similar solids, you need to find the ratio of corresponding sides of the two figures.
For the cylinder with dimensions 15cm, 6cm and 5cm, the corresponding sides are the heights of the cylinders.
Let x be the height of the smaller cylinder. Then, we have:
15/24 = 6/8 = 5/x
Simplifying this equation, we get:
x = 3.2 cm
So, the height of the smaller cylinder is 3.2 cm.
For the triangular prism with dimensions 24mm, 8mm, and 4mm, the corresponding sides are the heights of the prism.
Let y be the height of the smaller prism. Then, we have:
24/8 = y/4
Simplifying this equation, we get:
y = 12 mm
So, the height of the smaller prism is 12 mm.