SME
Grade 7 Math
Volume and surface area of prisms
The main lesson, then each kind of problem it solves.
Volume and surface area of prisms
Main lesson
Triangular prism
Use this for “A prism stands on a right triangle with legs 9 and 12 and slanted side 15, and is 20 long. Find its volume and surface area.”
Tent-shaped prism
Use this for “A toy tent is a prism: its end is a triangle with base 16 cm, height 6 cm and two 10 cm sides, and it is 25 cm long.”
Prism on a trapezoid
Use this for “A wooden block is a prism on a trapezoid: parallel sides 14 cm and 6 cm, 9 cm apart, 4 cm thick. What is its volume?”
A base made of rectangles
Use this for “The base is an L shape, 8 by 6 with a 3 by 2 corner cut out. The prism is 4 cm tall. Find its volume and surface area.”
Slicing a solid
Use this for “What shape is the cross-section when the pyramid is cut parallel to its base?”
Prism or not?
Use this for “Which solids are prisms?” before using V = Bh.