Volume of triangular prism objects at home

If we are given a triangular prism that has a base formed by an equilateral triangle, how can we simplify the surface area formula before solving it?ДЎ.) Since an equilateral triangle is made of three equivalent side lengths, we know that our s1 = s2 = s3. Using the PythagoreanВ theorem, we get:ДЈ.) Now letвЂ™s plug our known values into the surface area formula.Д¤.) The surface area of the right-angled triangular prism is 123.31. These will also be our first two sides, so s1 = 4 and s2 = 7.Дў.) We are still missing s3, which is the hypotenuse of the right triangle. Find the surface area of the triangular prism.ДЎ.) Since the base of the prism is formed by a right triangle and we know the leg lengths of the triangle, we can use the legs as the base and height. The lateral faces of the prism are formed by a rectangle with a length of 5.

Depending on your platform for home learning, there may be opportunities for young people to discuss and collaborate on this task.The bases of a triangular prism are formed by a right triangle with leg lengths of 4 and 7.

How easily did they manage? Was there anything that challenged them?

You could encourage young people to share how they found this task.

In this case, you could encourage them to share their thinking or solutions.

Young people may want to upload photos, video or comments to their online learning journal.

Using whichever approaches your school uses to communicate with parents, some of the following may be useful in supporting you to assess and recognise young peopleвЂ™s progress: Receiving examples of learning at home from young people will help you understand how they are managing the tasks you have set and provide some feedback.

Calculates the volume of triangular prisms and cylinders using formulae.

Uses formula and calculates the surface area of cylinders, cuboids and triangular prisms.

The following benchmarks are relevant to this task: It may be useful to share this with your class. The Skills You Need website provides a list of formulae you might require. To extend this activity you could repeat the above questions with different three-dimensional objects such as a triangular prism or cylinder. What percentage of the paper would be wasted when this cuboid is made? Note: You may want to clarify if your class are to use tabs or not. What is the maximum volume of a cuboid you can make by folding a single piece of A4 paper? Think about drawing a net on the A4 paper to help. Learning activityДЄs you share learning activities with the young people, consider the following learning activity:ДЄ sheet of A4 paper is 297 millimetres by 210 millimetres.

Another important skill will be for them to share their ideas and thinking with someone at home. Encouraging young people to think about the links between surface area and volume will help them to develop this skill. Understanding and applying links between mathematical concepts is an important skill to develop in numeracy and mathematics. I have explored with others the practicalities of the use of 3D objects in everyday life and can solve problems involving the volume of a prism, using a formula to make related calculations when required.Through investigating real-life problems involving the surface area of simple 3D shapes, I can explore ways to make the most efficient use of materials and carry out the necessary calculations to solve related problems.Curriculum for Excellence (CfE) experiences and outcomes: Fourth level

Volume of triangular prism objects at home