polystryrene is quite weak and crumbly.
Another suggestion: Use Expanding Foam. You can put the tools on a flat surface and pack thick polythene or other membrane over them (to prevent them being stuck to the foam) put the Expanding Foam over the top. This will also stick to your toolbox (unless you line it) and make it all more rigid.
If you have not used expanding foam before, do it where the mess will not matter. It will stick to clothes, fingers, gloves, hair, skin, eyeballs, shoes, carpet, concrete etc, and if you walk on it it will tread in. I use clingfilm and masking tape to protect nearby surfaces. Have a supply of disposable gloves so that you can change them as soon as they get foam on them. Wear clothes you can throw away. A water mist sprayer helps it cure faster and form a non-sticky skin.