# Math Help - Truncated Prism

1. ## Truncated Prism

A truncated prism has a square base of edge 5cm. Two adjacent lateral edges are 8 cm long each and other two lateral edges are 4cm long each. Find the total surface area and the volume.

Help please, this is so difficult.

2. Hello reiward
Originally Posted by reiward
A truncated prism has a square base of edge 5cm. Two adjacent lateral edges are 8 cm long each and other two lateral edges are 4cm long each. Find the total surface area and the volume.

Help please, this is so difficult.
I think this solid looks like the one in the diagram I have attached.

The faces are either rectangles (4 of them, all different) or trapezia (two of them both the same, like ABCD.) I'm sure you can work out their areas. (You will need to use Pythagoras' Theorem to find AB.)

To get the volume, multiply the area of the uniform cross-section (that's ABCD) by the length (that's the distance front-to-back).

Can you complete it now?