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A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high 1. Which box has the greater lateral surface area and by how much? 2.which box has the smaller total surface area and by how much?

Posted by மு மணி 4 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Bhavya Sharma 4 years, 5 months ago

LSA of cube = 4 x a = 4 x 10 = 40 sq. cm

LSA of cuboid = 2h (l+b) = 2x 8 ( 12.5 + 10)
= 16 ( 22.5) = 360sq. Cm

Cuboid has greater surface area by 320sq.cm

TSA of cube = 6xa = 6 x 10 = 60 sq. cm

TSA of cuboid = 2(lb + bh + lh)

= 2( 12.5 x 10 + 10 x 8 + 12.5 x 8)

= 2 ( 125 + 80 + 100)

= 2 x 305

= 610 sq cm

Cube has less TSA by 550sq cm

1Thank You

ANSWER

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