TRIANGULAR PRISM:

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SA: 2(1/2bh)+PH​​

SA: 2(1/2)(4)(3)+(3+4+5)(8)

SA: 2(6)+(12)(8)

SA: 12+96

SA: 108 inches squared

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V: BH

V: (1/2bh)(h)

V: (1/2)(4)(3)(8)

V: (1/2)(12)(8)

V: (6)(8)

V: 48 inches cubed

CONE

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** In order to find the surface area, you must first use Pythagorean Theorem for the slant height of the cone. 4 squared + 5 squared = slant height squared.  16+25=41 then take the square root of 41, which is 6.4.

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SA: B + 1/2CH

SA: (3.14)(r)(r)+1/2(3.14)(d)(slant height)

SA: (3.14)(4)(4)+1/2(3.12)(8)(6.4)

SA: 50.24 + 80.4

SA: 130.6 cm squared

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V: 1/3(3.14)(r)(r)(vertical height)

V: 1/3(3.14)(4)(4)(5)

V: 87.7 cm cubed

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CUBE (also a square prism):

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SA: 2(lw)+PH​​

SA: 2(3)(3)+(3+3+3+3)(3)

SA: 2(9)+(12)(3)

SA: 18+36

SA: 54 cm squared

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V: BH

V: (lw)(h)

V: (3)(3)(3)

V: 27 inches cubed

RECTANGULAR PYRAMID

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SA: B + 1/2PH

SA: (l)(w)+1/2(add 4 sides)(slant height)

SA: (12)(8)+1/2(12+8+12+8)(12)

SA: 96 + 240

SA: 336m squared

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V: 1/3(l)(w)(vertical height)

V: 1/3(12)(8)(10)

V: 320 cm cubed

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