K.1 Development view is square

Find the volume of the solid that can be assembled by the deployment view as shown below.














Answer
72 cm3

Solution
This solid is a trigonal pyramid with the bottom face of right-angled isosceles triangle whose length of the two sides across the right angle is 6 cm and with 12 cm in height. 

The volume is 6 × 6 × 1/2 × 6 × 1/3 = 72 cm3.