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The first instance of Arithmetic word problems with volume is under the 3rd grade (U.S.) Math Mission. This exercise uses word problems and pictures of scales to helps users understand the concept of measuring volume and how it can relate to arithmetic.

Types of Problems

There are two types of problems in this exercise:

  1. No picture word problem: This problem use words to describe a problem. The user is supposed to solve the problem and answers the question. The problem can have one step or multiple steps.
    Vol1

    No picture word problem

  2. Picture word problem: This problem use a picture to describe a problem. The user is supposed to solve the problem and answers the question. The problem can have one step or multiple steps.
    Vol2

    Picture word problem

Strategies

This exercise is medium to get accuracy badges because the multi-step problems. Users cannot get into a habit of expecting the same problem type due to the single-step problems and multi-step problems. Speed badges are only medium though because only little research has been done but exact problems seem to repeat on a pretty tight schedule.

  1. As mentioned in the paragraph, the problems seem to recycle rather quickly here.
  2. One-step problems with or without pictures can be done quickly. Read closely if there it is starting to look like a multi-step problem.

Real-life Applications

  1. When one fills up their vehicle with gas, the volume of gasoline in their gas tank helps to determine their purchase. Whether they fill up with gallons or liters of gasoline or diesel, the amount is a volume calculation. On a smaller scale, when one fills up a gas can to take to another vehicle or to use the gas to power another device, they again use volume for measuring.
  2. The ancient Egyptians from over 4000 years ago were very good at shapes and geometry. Every time the Nile burst its banks and flooded the planes, they had to use geometry to measure their gardens and fields all over again.

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