The truth is that most hockey equipment is designed to protect against impact injuries. Most gear protects the front moreso than the back. Shin guards have a hard shell in the front and enclose your shin like a C where it's open in the back. I just bought a Jofa chest protector -- it covers the front, back and shoulders but gives extra protection for the spine and heart. My hockey pants have solid plastic "plates" for the front of my thighs and solid padding around my waist to shield my kidneys. Other areas are padded but the padding is less thick -- the thicker the armour, the heavier the gear and the hotter the skater becomes as he plays.
I don't completely agree with EazyB97 that a newly sharpened blade won't cut. The skate will cut if it slices along the length of the blade. However, a skate blade isn't like a steak knife that comes to a V point. The blade is about 1/8th of an inch thick and there's a "hollow" in the center of the blade, making it look like a modified W. Not sure, but that flat center should prevent the skate blade from making a deep cut IN THE RARE INSTANCE that it slices against flesh. More than likely, a skate will meet padding and not go deep enough to touch skin, especially if the player uses a neck guard.
I get the feeling you've got a deeper reason for asking about skate cuts. Do you have a child who wants to play hockey? I believe many hockey leagues offer lectures about hockey safety. You should look into attending one in your area. Or walk into a hockey shop and say you've got strong concerns about hockey safety and ask what gear you should buy to provide maximum protection.