Mathematics - Massachusetts Department of Education
Mathematics - Massachusetts Department of Education
Mathematics - Massachusetts Department of Education
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<strong>Massachusetts</strong> Comprehensive Assessment System<br />
Grade 10 <strong>Mathematics</strong> Reference Sheet<br />
AREA FORMULAS<br />
square ..................... A = s 2<br />
rectangle ................. A = bh<br />
parallelogram ......... A = bh<br />
triangle ................... A = 1 2 bh<br />
VOLUME FORMULAS<br />
cube .........................................V = s 3<br />
(s = length <strong>of</strong> an edge)<br />
right rectangular prism ............V = lwh<br />
OR<br />
V = Bh<br />
(B = area <strong>of</strong> a base)<br />
trapezoid ................. A = 1 2 h(b 1 + b 2 )<br />
circle ....................... A = pr 2<br />
LATERAL SURFACE AREA FORMULAS<br />
right rectangular prism .......... LA = 2(hw) + 2(lh)<br />
right circular cylinder ........... LA = 2prh<br />
right circular cone ................. LA = pr<br />
( = slant height)<br />
right square pyramid ............. LA = 2s<br />
( = slant height)<br />
sphere ......................................V = 4 3 pr3<br />
right circular cylinder .............V = pr 2 h<br />
right circular cone ...................V = 1 3 pr2 h<br />
right square pyramid ...............V = 1 3 s2 h<br />
CIRCLE FORMULAS<br />
C = 2pr<br />
A = pr 2<br />
TOTAL SURFACE AREA FORMULAS<br />
SPECIAL RIGHT TRIANGLES<br />
cube ....................................... SA = 6s 2<br />
right rectangular prism ......... SA = 2(lw) + 2(hw) + 2(lh)<br />
x<br />
45˚<br />
x<br />
2<br />
sphere .................................... SA = 4pr 2<br />
right circular cylinder ........... SA = 2pr 2 + 2prh<br />
45˚<br />
x<br />
right circular cone ................. SA = pr 2 +pr<br />
( = slant height)<br />
right square pyramid ............. SA = s 2 + 2s<br />
( = slant height)<br />
y<br />
60˚<br />
2y<br />
30˚<br />
y 3<br />
284
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