The topic Area, volume, and surface area appears under the 7th grade (U.S.) Math Mission. This exercise practices the relationship between area and volume with three-dimensional figures.

Types of Problems

There are two types of problems in this exercise:

  1. Use area formulas to solve the problem: This problem provides a real-life scenario involving area or surface area formulas. The user is asked to solve the problem and provide the solution in the text box.

    Use area formulas to solve the problem

  2. Use volume formulas to solve: This problem provides a real-life scenario involving volume. Users are asked to find the solution to the word problem and write the answer in the space provided.

    Use volume formulas to solve


The concept of surface area and volume is more useful than the actual formulas on this exercise because the shapes used can be represented by nets.

  1. The surface area is the sum of the areas of each side.
  2. Be careful to read the problem to see if one object is made or several are made.
  3. The volume problem involving crates can be done mechanically by dividing the volume of the whole cargo ship by the volume of one of the crates.

Real-life Applications

  1. 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.
  2. Area and perimeter are used in many jobs such as architecture and interior design.
  3. 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.

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