In a group of 3 girls ,one girl forgot to bring her lunch so othet 2 girls decided to share their lunch with her lunch box 1st girl lunch box is in the shape of a cubodial box measures 6cm×8cm×15cm and of 2st girl lunch box is cylindrically shaped having radious 7 cm and height 15 cm . which box has more surface area and which box has more volume ? which value is depicted by girls ? ( use π=22/7)
Answers
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Answer:
Step-by-step explanation:
know Total surface area of cuboid = 2( Length × Breadth + Length × Height + Breadth × Height )
So,
Total surface area of cuboidal box = 2 ( 6 × 8 + 6 × 15 + 8 × 15 ) = 2 ( 48 + 90 + 120 ) = 2 × 258 = 516 cm2
And
Volume of cuboid = Length × Breadth × Height
So,
Volume of cuboidal box = 6 × 8 × 15 = 720 cm3
And
We know Total surface area of cylinder = 2π r h + 2π r2
So,
Surface area of cylindrical box = 2×227× 7 × 15+2×227× 7 ×7 = 2 × 22 × 15 + 2 × 22 × 7 + 660 + 308 = 968 cm2
And
Volume of cylinder = π r2 h
So,
Volume of cylindrical box = 227× 7 ×7 × 15 = 22 × 7 × 15 = 2310 cm3
So,
we can see that surface area and volume of cylindrical box is more than cuboidal box . ( Ans )
And
The girls depicts their caring nature towards their friend