IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga maaasahang sagot. Anuman ang kahirapan ng iyong mga tanong, ang aming komunidad ay may mga sagot na kailangan mo.

Packaging is one important feature in producing quality products. A box designer needs to produce a package for a product in the shape of a pyramid with a square base having a total volume of 200 cubic inches. The height of the package must be 4 inches less than the length of the base. Find the dimensions of the product.

Sagot :

The formula for looking for the volume of a square pyramid is [tex]s^2 \frac{h}{3} [/tex].

s²h/3 = 200
s²h = 600
s²(s-4) = 600
s³ - 4s² - 600 = 0
(s - 10)(s² + 6s + 60) = 0

The second factor s² + 6s + 60 would have factors (s + _ ) (s + _ ) where the blanks are not necessarily equal but are positive. This would mean that s would have a negative value so we do not take that. 

The only possible length of the square base is 10 inches. The height being 6 inches.