Rectangular
Prisms
Prisms
Formula for the volume of a rectangular prism
V = l w h
Formula for the volume of a triangular prism
V = (l w h) / 2
Formula for the volume of a cylinder
V = πr2 x h
Formula for surface area of a rectangular prism
SA = 2(lw) + 2(lh) + 2(wh)
This differentiates formulas for volumes of triangular & rectangular prisms
Divide by 2
Formula for surface area of a cylinder
SA = 2πr2 + h(2πr)
This is why we multiply each set of brackets by two when calculating for SA of rectangular prisms
There are two of each type of rectangular face
This measurement represents the height of this triangular prism
4
2πr2 calculates the _____ of both _____ faces of a cylinder
surface area, circular
This is how you would change the formula to find the SA of a rectangular prism with an open top
SA = (lw) + 2(lh) + 2(wh)
(remove the 2 that precedes a set of brackets)
Formula for the surface area of an isosceles triangular prism
SA = 2(bh/2) + 2(wl) + (bl)
This is how you would change the SA formula to find the SA of a cylinder with one open end
SA = πr2 + h(2πr)
(remove the 2 that precedes the πr2)
This is how you would change the formula to find the V of a rectangular prism with an open top
You wouldn't
Formula for the surface area of a right scalene triangular prism
SA = 2(bh/2) + (wl) + (bl) + (hl)
The function served by each two in the cylinder SA formula
2πr2 - To account for the area of the two circular faces
h(2πr) - Circumference formula is d x π