Acuboid has totalsurface area of 50 m and its lateral surface arenis 34 m. Find the area of base.
(Hint:T.S.A = 2S.A. of base + lateral surface area)
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2
Answer:
10m^2
Step-by-step explanation:
Total surface area = 50 m.
2(lb + bh + lh) = 50 ---- (1)
Lateral surface area = 34 m.
2(bh + lh) = 30 ----- (2)
subtracting (1) from (2), we will get
=> 2(lb + bh + lh) - 2(bh + lh) = 20
=> 2lb + 2bh + 2lh - 2bh - 2lh = 20
=> 2lb = 20
=> lb = 10
Area of base = 10 m^2
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