[Massachusetts Comprehensive Assessment System (MCAS) Logo]

Massachusetts Comprehensive Assessment System
Grade 10 Mathematics Reference Sheet

AREA FORMULAS
square...........[A equals s squared]
rectangle........[A equals bh]
parallelogram....[A equals bh]
triangle.........[A equals one half bh]
trapezoid........[A equals one half h(b subscript 1 plus b subscript 2)]
circle...........[A equals pi sign r squared]

LATERAL SURFACE AREA FORMULAS
right rectangular prism..........[LA equals two(hw) plus two(lh)
right circular cylinder..........[LA equals two pi sign rh]
right circular cone..............[LA equals pi sign r script l]
(script l equals slant height)
right square pyramid...........[LA equals two s script l]
(script l equals slant height)

TOTAL SURFACE AREA FORMULAS
cube..........[SA equals six s squared]
right rectangular prism......[SA equals two (lw) plus two (hw) plus two (lh)]
sphere........[SA equals four pi sign r squared]
right circular cylinder......[SA equals two pi sign r squared plus two pi sign rh]
right circular cone..........[SA equals pi sign r squared plus pi sign r script l]
(script l equals slant height)
right square pyramid.........[SA equals s squared plus two s script l]
(script l equals slant height)

VOLUME FORMULAS
cube..........[V equals s cubed]
(s equals length of an edge)
right rectangular prism......[V equals lwh or V equals Bh]
(B equals area of a base)
sphere........[V equals four thirds pi sign r cubed]
right circular cylinder......[V equals pi sign r squared h]
right circular cone..........[V equals one third pi sign r squared h]
right square pyramid.........[V equals one third s squared h]

CIRCLE FORMULAS
[C equals two pi sign r]
[A equals pi sign r squared]

SPECIAL RIGHT TRIANGLES

[forty-five forty-five ninety right triangle where the length of each leg equals x
and the length of the hypotenuse equals x square root two]

[thirty sixty ninety right triangle where the length of the shorter leg equals y,
the length of the longer leg equals y square root three, and the length of the hypotenuse equals two y]