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Mathematics

1 answer:

alisha [4.7K]3 years ago

8 0

Answer: The width is: " 10 in. " .
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Explanation:
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Consider a "rectangular prism".
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The formula for the Volume of a rectangular prism:
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V = L * w * h ;
_________________________________________________
in which:

V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
____________________________________________
We want to solve for "w" (width) ;
____________________________________________
Given the formula:
____________________________________________

V = L * w * h ;
____________________________________________
Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
_____________________________________________
→ V / (L * h) = ( L * w * h) / (L * h) ;

to get:
_________________________________
→ V / (L * h) = w ;

↔ w = V / (L * h) ;
_________________________________
Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
____________________________________________________
→ w = (120 in.³) / (8 in. * 1.5 in.) ;

→ w = (120 in.³) / (12 in.²) ;

→ w = (120/12) in. = 10 in.
____________________________________________________

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