Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
1st Edition
ISBN: 9780078945830
Author: Charles William McLaughlin, Marilyn Thompson, Dinah Zike
Publisher: Glencoe Mcgraw-Hill
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Chapter 21.1, Problem 3PP
To determine

The lost surface area of a rectangular cube is to becalculated if two smaller cubes with each side being 5cm are attached together.

Expert Solution & Answer
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Answer to Problem 3PP

Surface area of rectangular cube is lost by 50cm2 .

Explanation of Solution

Given information:

Each side to two cubes=5 cm.

Formula used:

The surface area of cube = 6s2

Area of rectangular pieces =2(lw+lh+hw)

Calculation:

The surface area of each cube

  =6(5)2=6×25=150cm2

The total surface area of both cubes

  =150+150=300cm2

When two cubes are attached, then the area of the rectangular piece is

  Surfaceofrectangularpiece=2(lw+lh+hw)

               =2(5×10+5×5+5×10)

               =2(50+25+50)

               =2(125)

               =250cm2

  SurfaceAreaLost=300cm2250cm2=50cm2

Conclusion:

The surface area of the rectangular cube is lost by 50cm2 .

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