# Problem of the Week Problem B Farmer Holly's Hay Wagon

Farmer Holly has a wagon with a wood deck and four tires. When empty, the wagon has a total mass of $$770$$ kg. She uses her wagon to transport hay bales in the shape of rectangular prisms. Each hay bale is $$1.4$$ m long by $$1.5$$ m wide by $$2$$ m high, and has a mass of $$300$$ kg.

1. Each of the four tires on the wagon has a maximum load of $$1100$$ kg. That is, with each tire an additional $$1100$$ kg can be added to the load on the wagon. How many hay bales could Farmer Holly put on her wagon without risking a tire blowout? Don’t forget that the tires are also carrying the load of the wagon itself!

2. Her wagon deck is $$5.6$$ m long and $$3$$ m wide. Farmer Holly wants to tightly pack the hay bales on the wagon with the $$1.4$$ m by $$1.5$$ m side face down on the wagon. How many hay bales can she fit on her wagon if she does not stack them?

Theme: Geometry