6th grade Q4

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How do you create problems involving surface area and volume of solid figures?

Creating problems involving surface area and volume of solid figures is like designing a practical math challenge! Here's how to make one step by step:

 

Step 1: Pick your solid figure

Choose a common solid figure, like a cylinder, sphere, rectangular prism, or cone. Decide whether you’ll focus on surface area, volume, or both. For example:

Let’s use a cylinder with a height of 10 units and a radius of 5 units.

 

Step 2: Think of a real-life situation

Imagine a context where knowing the surface area or volume makes sense.

For example:

You are designing a soda can and need to calculate how much metal is needed for the surface and how much soda it can hold.

 

Step 3: Write your problem

Clearly explain the situation and give all the measurements needed to solve it. For example:

A soda can is in the shape of a cylinder with a height of 10 units and a radius of 5 units.

  1. How much soda can the can hold (volume)?
  2. How much metal is needed to make the can, including the top and bottom (surface area)?

 

Step 4: Solve the problem

Before sharing your problem, calculate the answers to ensure they are reasonable and accurate. Show all the steps so others can follow your solution.