Saturday, March 10, 2012

Anton's Surface Area and Volume Post

Rectangular Prism


LxW TSA=2x(T+F+S)
=2x(50+60+30)
T - 10x5 = 50m² =2x140
F - 10x6 = 60m² =280m²
S - 5x6 = 30m²

Triangular Prism

LxW BxH TSA
= Area of the Rectangle = Area of the Triangle = 50+40+45+36+36
10x5 = 50cm² (9x8)÷2 =207cm²
8x5 = 40cm² = 72÷2
9x5 = 45cm² =36cm²
Cylinder
Rectangle- Circle- TSA - Rectangle+(circle x 2)
= π.D=W =π.r² = 301.44+(50.24 x 2)
= 3.14x8 =3.14x(4x4) =401.92mm²
= 25.12 mm² =50.24mm²
= WxL=Circumference
= 25.12x12
= 301.44 mm²
Volume
Triangular Prism
V=(BxH)÷2xH
=(3x5)÷2xH
=(15÷2)xH
=7.5m²x8.5m
=62.75m3
Rectangular Prism
V=AOBxH
=LxWxH
=20cmx8cm
=160cm²x16cm
=2560cm3
Triangular Prism 3/8 full
V=(BxH)÷2xH÷8x3
=(8x4)÷2xH÷8x3
=(32÷2)xH÷8x3
=(16x6.5)÷8x3
=(104÷8)x3
=13x3
=39cm3
Cylinder
V=πxR²xH
=(3.14x6x6)x15
=113.04cm²x15cm
=1695.6cm3

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