Question

Josh is a product designer for electrical company he designed a new table lamp Josh will use plastic to make the lamp he uses this formula to work out the amount of plastic needed P= b2 +2bh.the lenght of the base of the lamo will be 13cm the slope of the lamp will be 34cm.josh thinks the amount of plastic needed will be less than 1000cm2​

Answer 1

Josh is right, he needs less than 1000 square centimeters.

Explanation:

We can find the height using Pythagorean's Theorem.

`34^(2) =13^(2) +h^(2) \\h=√(1,156-169)=√(987) \approx 31`

So, the height is 31 centimeters, approximately.

Now, we use the given expression and the base and height

`P=b^(2) +2bh=13^(2)+2(13)(31)=169+806=975 \ cm^(2)`

Therefore, Josh is right, he needs less than 1000 square centimeters. Specifically, he needs 975 square centimeters.