Question

12. A cereal company decided to make an odd-shaped box for a promotion they are doing. The new design is a rectangular prism with length of 10 cm, width of 8 cm, and height of 4 cm. and attached to the rectangular prism is a cylinder with a radius of 2 cm. and a height of 10 cm. How much cereal (in L) will fit in the box?

Answer 1

This one odd cereal box. We are asked to find the volume of the "box". This can be answered in 2 parts. The total volume is the sum of the rectangular prism volume and the volume of the cylinder. The volume of the rectangular prism is 8x4x10 = 320 cm^3. Then the volume of the cylinder is
`\pi r^(2) h = V`. The volume of the cylinder is then 125.66. The total volume is then 445.66 ml (Note: ml = cm^3). Then V = 0.45L