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evablogger [386]
3 years ago
9

A right rectangular prism has a length of 12 ft, width of 5/12 ft, and height of 10 1/12 ft.What is the volume of the prism?

Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0
Mult. these 3 dimensions together to obtain the volume of the prism:

(12 ft)(5/12  ft)(10   1/12  ft).  Expressing all of these factors as improper fractions, we get:

  12        5       121        5(121) ft^3
------ * ------ * -------- = ----------------- = 50.42 ft^3 = volume of the prism
    1       12       12             12
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A cylinder has a volume of 384 cubic inches and a height of 8 inches, what is the radius
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___________________________________________

Note:  Volume of cylinder: V = (base area) * (height);

in which: V = volume = 384 in.³ ;
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Solve for "r" :
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Divide EACH SIDE of the equation by "8" ; 
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 to get: 
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Rewrite this equation; using "3.14" as an approximation for: π ;
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Divide EACH SIDE of the equation by:

"[(3.14)*(in.²)*(in.)]" ;  to isolate "r² " on one side of the equation; 
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_____________________________________________________
→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)]  = 48 in.³ / [(3.14)*(in.²)*(in.)] ; 
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      → r² = 15.2866242038216561 ;
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To solve for "r" (the radius; take the "positive square root" of EACH side of the equation:
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     → +√(r²) = +√(15.2866242038216561)
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