Question bank: Comparison of Measures: Capacity and Mass

Ana and Pedro are helping to organize the school's June party. They need to fill a barrel with water for the fishing game and fill a box with popcorn for the snack stand. The barrel can hold up to 50 liters of water and the popcorn box needs to weigh 3 kilograms to be ready. Ana filled the barrel with 30 liters of water and Pedro put 2 kilograms of popcorn in the box. Who filled the container with more capacity, Ana or Pedro? And who put more weight in the box, Ana or Pedro? Explain how you compared the capacity and weight to reach your answer.

At the fair, João bought 3 cans of juice, each with a capacity of 500 ml, and 2 bags of rice, each weighing 1 kg. While packing the purchases in his backpack, he began to observe the differences between the juice capacity and the rice mass. Considering that a full can of juice weighs 500 g and knowing that 1 liter of juice has a mass of 1 kg, João would like to know if the amount of juice in the 3 cans is heavier, equal, or lighter than the amount of rice in the 2 bags. How can we help João compare the juice capacity and the rice mass to determine which one weighs more?

In the classroom, teacher Ana placed two buckets, one full of sand and the other full of water. The sand bucket weighs 5 kilograms and the water bucket holds 5 liters. Knowing this, teacher Ana wants to find out which of the two buckets is heavier, but she doesn't have a scale. Help teacher Ana to discover which bucket is heavier. Think about how you can compare the weight of the two buckets using what you already know about kilograms and liters. Explain what you would do to find out and why it would work.

Maria is helping her grandmother prepare a cake recipe. The recipe calls for 1 liter of milk and 500 grams of flour. Maria needs to decide which milk bottle and which flour package to buy at the market. She looks at the labels and sees that there are milk bottles with a capacity of 1 liter and others with 2 liters, and flour packages of 500 grams and 1 kilogram. Maria wants to buy the exact amount requested by the recipe, without any leftovers or missing ingredients. How can Maria use the labels to choose the appropriate milk bottle and flour package for the cake recipe?

Imagine you have a box with several oranges and a bottle of orange juice. The box weighs 2 kilograms and the bottle has 2 liters of juice. If you had to choose which one is heavier, the box of oranges or the bottle of juice, what would you say and why? Write your answer explaining how you compared the weight of the two objects using the information about kilograms and liters.