What we have to find is the diagonal of the bottom. We have 5 and 2.
The formula A²+B²=C² will be very important in solving this problem.
We have to find the diagonal of 5 and 2. We just have to plug then in.
5²+2²=C²; Now square the numbers.
25+4=C²
29=C²
Now find the square root.
√29=5.385; I shortened it so we can solve properly.
After we've found the diagonal of the bottom, we have to find the diagonal of the diagonal of the bottom and the height. In thise case, we're finding the diagonal of the legs 5.385 and 2.
We know the very important formula, we just have to put the values in.
5.385²+2²=C²
We know that we had to round the square root of 29, so if you square the square root of a number, you get the number.
29+4=33=C²
Now we have to find the square root of 33.
√33=5.744562; We round it to the nearest hundredth.
≈5.74
So, the diagonal of the rectangular prism is about 5.74(√33) units.
