MCAS 2013 Math Grade 10 Released Items Document

Massachusetts Comprehensive Assessment System
Grade 10 Mathematics Reference Sheet
AREA FORMULAS
VOLUME FORMULAS
square .....................A =s2
cube.........................................V = s3
(s=lengthofanedge)
rectangle.................A =bh
rightrectangularprism............V = lwh
parallelogram.........A =bh
OR
V = Bh
(B=areaofabase)
triangle...................A = 1 bh
2
4
trapezoid .................A = 1 h(b1+b2)
sphere......................................V = 3 pr3
circle .......................A =pr2
rightcircularcylinder.............V = pr2h
LATERAL SURFACE AREA FORMULAS
rightcircularcone...................V = 3 pr2h
rightrectangularprism..........LA = 2(hw) + 2(lh)
rightsquarepyramid...............V = 3 s2h
2
1
1
rightcircularcylinder...........LA = 2prh
rightcircularcone.................LA = pr
(=slantheight)
CIRCLE FORMULAS
rightsquarepyramid.............LA = 2s 
(=slantheight)
C=2pr
A=pr2
SPECIAL RIGHT TRIANGLES
TOTAL SURFACE AREA FORMULAS
cube.......................................SA = 6s2
rightrectangularprism.........SA = 2(lw) + 2(hw) + 2(lh)
x
45˚
x 2
sphere....................................SA = 4pr2
rightcircularcylinder...........SA =
2pr2 + 2prh
x
rightcircularcone.................SA = pr2 +pr
(=slantheight)
60˚
y
s2 + 2s
rightsquarepyramid.............SA =
(=slantheight)
45˚
2y
30˚
y 3
264