The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism. 120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus, a = 240 / ( c x h) If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2 We use the volume formula again and substitute the given values to find the new volume, V = 1/2 x a/2 x c/2 x h/2 Substitute the previously determined a term, V = 1/2 x (240/2ch) x c/2 x h/2 We cancel and evaluate the constants therefore the new volume is, V= 15 cm^3
