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Each dimension of a rectangular solid is an integer less than 11. The volume of the solid is 30. If the height of the solid is 10, what is the surface area of the solid?
A. 30
B. 33
C. 66
D. 86
E. 116
A. 30
B. 33
C. 66
D. 86
E. 116
yashikaaggarwal
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24 Nov 2020, 01:29
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Volume = lbh
30 =lbh
lb*10 = 30
lb = 3
Let, l = 3 and b = 1
Surface area = 2(lb+bh+hl)
S.A. = 2(3+10+30)
S.A = 2(43)
S.A.= 86 (which is same for b= 3 and l = 1)
Answer is D
30 =lbh
lb*10 = 30
lb = 3
Let, l = 3 and b = 1
Surface area = 2(lb+bh+hl)
S.A. = 2(3+10+30)
S.A = 2(43)
S.A.= 86 (which is same for b= 3 and l = 1)
Answer is D
24 Nov 2020, 02:11
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CONCEPT: Volume of solids(rectangular)=Length(l)*Breadth(b)*height(h)
T.S.A of solids = 2(lb+ bh+ lh)
Given-
l*b*h = 30
=> l *b*10 = 30 =>lb=3=3 x 1 [As, Height=10 units]
Thus, length =3 ; breadth=1;height=10
(Since 3 is a prime number and cannot be further factorized)
Total Surface Area(T.S.A) = 2(lb+ bh+ lh)
= 2(3+10+30)=86 square units (D)
Hope this helps. Keep studying.
Devmitra Sen
T.S.A of solids = 2(lb+ bh+ lh)
Given-
l*b*h = 30
=> l *b*10 = 30 =>lb=3=3 x 1 [As, Height=10 units]
Thus, length =3 ; breadth=1;height=10
(Since 3 is a prime number and cannot be further factorized)
Total Surface Area(T.S.A) = 2(lb+ bh+ lh)
= 2(3+10+30)=86 square units (D)
Hope this helps. Keep studying.
Devmitra Sen
