 In this video we're just going to do a couple examples of finding volume of prisms. So this example asks to first give the dimensions of the base and then find the volume of the square prism. So first we want to recognize that this is in fact a square prism because we can see that the two bases are squares. So the dimensions of the square would be 5 and 5 and the 12 would be the height of the prism. So to find the volume of this prism remember the formula is area of the base times the height. In this case because it's a square the area of the base is base times height or if you want to think of it as side squared times the height of the prism. So 5 times 5 area of the base times 12 which is the height of the prism. We would get 25 times 12 which is 300 cubic units. Here we have a right triangular prism. So again we want to recognize that the base of this prism happens to be a right triangle. And we also want to recognize that in a triangle in order to find the area of the base which is a right triangle we need to know the base and the height of that triangle. Well we know that 4 represents either the base or the height but we need to figure out this leg of the triangle because that would be the other piece either the base or the height. So volume is equal to area of the base times the height of the prism. In this case the base is a triangle so we have to do 1 half times base times height times the height of the prism. I can see that 7 is the height of the prism. I'm going to call 4 the base of the triangle so I need to find x. Well what you want to recognize is that this is a 30-60-90 triangle given to us right here is a 30 degree angle and since 4 is opposite the 30 degree angle that means that 4 represents the short leg. So if I multiply 4 times 2 I get the hypotenuse and if I multiply 4 times root 3 I get the other piece that I'm missing which is 4 root 3. Notice that the directions asked for exact so I want to leave it as 4 root 3 and so now I have what I need to do the volume formula. 1 half times 4 which is the base of the right triangle times 4 root 3 which is the height of the right triangle times 7 which is the height of the prism. Now when I multiply this together I'm going to do 1 half times 4 times 4 times 7 and then just attach the root 3 and so we get an answer of 56 root 3 and that is again going to be cubic units because we are doing volume.