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Georgia [21]
3 years ago
8

Find the width of a rectangular prism when the surface area is 208 square centimeters -H=8cm,L=6cm

Mathematics
2 answers:
alexandr1967 [171]3 years ago
7 0
Area=2area\ of\ base+4\area\ of\ side\\\\
area\ of\ base=2width*L=12width\\\\
area\ of\ side=2width*8+2*6*8=96+16width\\\\
208=96+16width+12width\\\\
208=96+28width\ \ \ |Subtract \ 96\\\\112=28width\ \ \ |Divide\ by\ 28\\\\width=4cm

il63 [147K]3 years ago
3 0
By definition, the surface area of a rectangular prism is given by:
 A = 2wl + 2wh + 2hl

 Where,
 w: width of the prism
 h: prism height
 l: length of the prism
 Clearing w we have:
 A = 2 (wl + wh + hl)

 A=2w(l + h)+2hl
 w=\frac{A - 2hl}{2(l + h)}
 Substituting values we have:
 w=\frac{208 - 2(8)(6)}{2(6 + 8)}
 Rewriting:
 w=\frac{208 - 96}{2(14)}
 w=\frac{112}{28}
 w = 4
 Answer:
 
the width of the rectangular prism is:
 
w = 4
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