Project Base Learning
Choice Board
Surface Area and Volume of
Three-Dimensional Geometrical Shapes
Name: Lin Qiao En Joan
Class: 2A
Teacher’s name: Miss Loo
Subject: Mathematic
Three-Dimensional Geometrical Shapes
Prism
Sphere
Formula of surface area for prism:
SA = 2B + ph, where B=area of base, p=perimeter of base, h=height
Example of surface area for rectangular prism:
SA= 2(27×30)+2(15×27)+2(15×30)
= 2(810)+2(405)+2(450)
= 160+810+900
= 3330cm²
Example of surface area for triangular prism:
SA= 2(6×4×21 )+2(3×5)+(6×3)
= 2(12)+2(15)+18
= 24+30+18
= 72cm²
Formula of surface area for pyramid:
SA = B + 1ps, where p=perimeter of the base, s=slant height
2
Example of surface area for pyramid:
SA= (18×18)+4(18×15×21)
= 324+4(135)
= 324+540
= 864cm²
Formula of surface area for cylinder:
SA = 2r² + 2rh, where r=radius, h=height
Example of surface area for cylinder:
SA= (2×22×10.5²)+(2×22×10.5×5)
77
= 693+330
= 1023cm²
Formula of surface area for cone:
SA = r² + rs, where r=radius, s=slant height
Example of surface area for cone:
SA= (272×5²)+(272×5×13)
= 78.57+204.29
= 282.86cm²
Formula of surface area for sphere:
SA = 4r² , where r=radius
Example of surface area for sphere:
SA= 4×22×5.6²
7
= 394.24cm²
Formula of volume for prism:
V = Bh, where B=area of base, h=height
Example of volume for triangular prism:
V= 12×12×10×9
= 540cm³
Formula of volume for pyramid:
V = 31Bh, where B=area of base, h=height
Example of volume for pyramid:
V= 13×(12×6×8)×8
= 64cm³
Formula of volume for cylinder:
V = r²h, where r=radius, h=height
Example of volume for cylinder:
V= (272×7²)×4
= 616cm³
Formula of volume for cone:
V = 31r²h, where r=radius, h=height
Example of volume for cone:
V= 31×(272×9²)×28
= 2376cm³
Formula of volume for sphere:
V = 34r³, where r=radius
Example of volume for sphere:
V= 34×272×21³
= 38808cm³
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