Handwritten then box the final answers

4. A box with square base and open top is to be constructed. It must have a volume of 1000cm3. The material to be used for the base costs Php'lOicmz, while the material to be used for the sides cost PhpSfcmz. What should be the dimensions ofthe box for it to have the least cost? 5. A cylindrical can must have a volume of 500cm3. What should be its dimensions for it to have a minimum surface area? l. A sphere has radius 20cm. A cylinder is to be constructed to fit inside the sphere. Find the radius of the cylinder that will have the largest volume. 2. You have a 600m of fencing materials. Using this, you want to enclose a rectangular area and then divide it into two equal rectangular parts. What dimensions will give you the largest possible areas? 3. A container with trapezoidal cross section is to be made from a strip of tin that is 30in long. This is done by bending up the tin's edges that are both 10in. What width across the top will give the maximum cross-sectional area