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From Karnataka Open Educational Resources
→Concept #5. Measurements in solid figures
[[File:Mensuration.mm|flash]]
[[File:Mensuration.mm|flash]]
===Additional Resources===
===Additional Resources===
==== Resource title ====
[http://www.mathopenref.com/tocs/solidtoc.html Mensuration]
====OER====
====OER====
#Web resources:
#Web resources:
This activity explores representation of actual distances on paper using proportional distances.
This activity explores representation of actual distances on paper using proportional distances.
====== [[Scale drawing - Part 1|Scale drawing - Part 2]] ======
====== [[Scale drawing - Part 2]] ======
Activity investigates how a blue print represents actual dimensions.
Activity investigates how a blue print represents actual dimensions.
====Concept #1 - [[Introduction to solid figures]]====
====Concept #1 - [[Introduction to solid figures]]====
Group activity for children to explore different dimensions in solids.
Group activity for children to explore different dimensions in solids.
[https://karnatakaeducation.org.in/KOER/en/index.php/Introduction_to_2D_and_3D_shapes?venotify=created Introduction to 2D and 3D shapes]
Activity 1- [[Visualising solid shapes]]
Activity 2- [[3D shapes model making]]
====Concept #2.Cube====
====Concept #2.Cube====
====Concept #3.Cylinder====
====Concept #3.Cylinder====
A cylinder is a closed solid that has two parallel (usually circular) bases connected by a curved surface. It has two ends, called bases, that are usually circular. The bases are always congruent and parallel to each other. On 'unrolling' the cylinder one would find that the side is actually a rectangle when flattened out. The height h is the perpendicular distance between the bases. The radius r of a cylinder is the radius of a base. Axis of the cylinder is a line joining the center of each base. Hollow Cylinder is the one with open top and base. Ex. cylindrical tube.
A cylinder is a closed solid that has two parallel (usually circular) bases connected by a curved surface. It has two ends, called bases, that are usually circular. The bases are always congruent and parallel to each other. On 'unrolling' the cylinder one would find that the side is actually a rectangle when flattened out. The height h is the perpendicular distance between the bases. The radius r of a cylinder is the radius of a base. Axis of the cylinder is a line joining the center of each base. Hollow Cylinder is the one with open top and base. Ex. cylindrical tube.
===== Formulas =====
CSA=<math>{2}{\pi}{r^2}{h}</math>
Volume of Cylinder=<math>{\pi}{r^2}{h}</math>
TSA of Cylinder=<math>{2}{\pi}{r}{(r+h)}</math>
Volume of Cylinder When h=h/2 is<math>{\frac{{\pi}{r^2}{h}}{2}}</math> <math>{\frac{{1}}{3}}{X}{\frac{{22}}{7}}{7^2}{14}</math>
=====Activities=====
=====Activities=====
======[[Surface area of a cylinder]]======
======[[Surface area of a cylinder]]======
======[[Prism people]]======
======[[Prism people]]======
This activity has been taken from the website [http://www.teachmathematics.net/page/10938/prism-people teachMathematics].
This activity has been taken from the website [http://www.teachmathematics.net/page/10938/prism-people teachMathematics].
[[Difference between Prism and Pyramid]]
=====Solved problems/ key questions (earlier was hints for problems).=====
=====Solved problems/ key questions (earlier was hints for problems).=====
