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shahaana:
15=10√3
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Answered by
4
hey mate here is your answer ✌⛄
15) side=10cm
longest rod = diagonal=√3(side)
=10√3cm
so option d is correct
16) diagonal=8√3cm
so side= 8√3/√3
=8cm
so surface area= 6side²
=(6)8²
=64×6cm²
=384cm²
so option b is correct
17) side=x cm
increase side=X/2 + X
=3x/2 cm
so surface area=6x²
increase surface area=6(9x²/4)
=27x²/2
increase=(27x²/2) -6x²
=15x²/2
so percentage=15x²/2/6x²×100
=15/2 ×100
so = 125%
so option d is correct
18) volume of new cube= V1+v2+v3
L ³=l1³+l2³+l3³
L³=3³+4³+5³
=21600
l=6cm
so LSA=4l²
=4(6)²
=4×36
=144cm²
so option b is correct
hope it will help you ☃⛄
mark me brainliest ✌✌⛄
15) side=10cm
longest rod = diagonal=√3(side)
=10√3cm
so option d is correct
16) diagonal=8√3cm
so side= 8√3/√3
=8cm
so surface area= 6side²
=(6)8²
=64×6cm²
=384cm²
so option b is correct
17) side=x cm
increase side=X/2 + X
=3x/2 cm
so surface area=6x²
increase surface area=6(9x²/4)
=27x²/2
increase=(27x²/2) -6x²
=15x²/2
so percentage=15x²/2/6x²×100
=15/2 ×100
so = 125%
so option d is correct
18) volume of new cube= V1+v2+v3
L ³=l1³+l2³+l3³
L³=3³+4³+5³
=21600
l=6cm
so LSA=4l²
=4(6)²
=4×36
=144cm²
so option b is correct
hope it will help you ☃⛄
mark me brainliest ✌✌⛄
Answered by
4
Hello sis!
15. You have to focus that diagonal is the longest length in any 3D shape.
So, diagonal of cube = √3( side )
Since side of cube is 10 cm.
Diagonal = 10√3 cm
Thus, longest rod that can fit must be 10√3 cm long.
Answer : Option (D).
16. Since diagonal of cube = √3(side)
8√3 cm = √3(side)
8 cm = side
Surface area of cube = 6(side)²
= 6 × 8² = 384 cm²
Answer : Option (B).
17. Let the edge of cube be x.
Surface area = 6x²
Now each side is increased by 50%
So, new side = x + 50x/100 or x + x/2 or 3x/2
Surface area = 6(3x/2)² = 6 × 9x²/4
= 27x²/2
Surface area increased = 27x²/2 - 6x²
= ( 27 - 12 )x²/2 = 15x²/2
Percentage increased = [ (15x²/2) / (6x²) ] × 100
= 125%
Answer : Option (D).
18. Volume of each cube = 3³ = 27 cm³
= 4³ = 64 cm³
= 5³ = 125 cm³
Total volume = ( 27 + 64 + 125 ) cm³
= 216 cm³
Volume of large cube = Side³
216 cm³ = side³
6 cm = side
Lateral ( area if 4 walls ) surface area = 4(side)²
= 4 × 6² = 144 cm²
Answer : Option (B).
Have great future ahead!
15. You have to focus that diagonal is the longest length in any 3D shape.
So, diagonal of cube = √3( side )
Since side of cube is 10 cm.
Diagonal = 10√3 cm
Thus, longest rod that can fit must be 10√3 cm long.
Answer : Option (D).
16. Since diagonal of cube = √3(side)
8√3 cm = √3(side)
8 cm = side
Surface area of cube = 6(side)²
= 6 × 8² = 384 cm²
Answer : Option (B).
17. Let the edge of cube be x.
Surface area = 6x²
Now each side is increased by 50%
So, new side = x + 50x/100 or x + x/2 or 3x/2
Surface area = 6(3x/2)² = 6 × 9x²/4
= 27x²/2
Surface area increased = 27x²/2 - 6x²
= ( 27 - 12 )x²/2 = 15x²/2
Percentage increased = [ (15x²/2) / (6x²) ] × 100
= 125%
Answer : Option (D).
18. Volume of each cube = 3³ = 27 cm³
= 4³ = 64 cm³
= 5³ = 125 cm³
Total volume = ( 27 + 64 + 125 ) cm³
= 216 cm³
Volume of large cube = Side³
216 cm³ = side³
6 cm = side
Lateral ( area if 4 walls ) surface area = 4(side)²
= 4 × 6² = 144 cm²
Answer : Option (B).
Have great future ahead!
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