SA & V Formula Sense

Rectangular Prisms

100

Formula for the volume of a rectangular prism 

V = l w h

200

Formula for surface area of a rectangular prism

SA = 2(lw) + 2(lh) + 2(wh)

300

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

400

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)

500

This is how you would change the formula to find the V of a rectangular prism with an open top

You wouldn't

Triangular Prisms

100

Formula for the volume of a triangular prism

V = (l w h) / 2

200

This differentiates formulas for volumes of triangular & rectangular prisms

Divide by 2

300

This measurement represents the height of this triangular prism

4

400

Formula for the surface area of an isosceles triangular prism

SA = 2(bh/2) + 2(wl) + (bl)

500

Formula for the surface area of a right scalene triangular prism

SA = 2(bh/2) + (wl) + (bl) + (hl)

CylinderPrisms

100

Formula for the volume of a cylinder

V = πr² x h

200

Formula for surface area of a cylinder

SA = 2πr² + h(2πr)

300

2πr² calculates the _____ of both _____ faces of a cylinder

surface area, circular

400

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)

500

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