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

Answer:

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

Step-by-step explanation:

We can find the height using Pythagorean's Theorem.

$34^{2} =13^{2} +h^{2} \\h=\sqrt{1,156-169}=\sqrt{987} \approx 31$

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.