CAYLEY 2019 Problem 17

A solid wooden rectangular prism measures 3 \times 5 \times 12. The prism is cut in half by a vertical cut through four vertices, as shown. This cut creates two congruent triangular-based prisms. When these prisms are pulled apart, what is the surface area of one of these triangular-based prisms?

Image

Answer Choices
A. 135
B. 111
C. 114
D. 150
E. 90