needing help finding the surface area, volume, and surface area to volume ratio

Question

needing help finding the surface area, volume, and surface area to volume ratio on the chart above!! please help!! the measurement in the chart above are in inches!

4. Measure length, width, and height of the folowing household items. Record your measurement dats in the table below and use the Fxce workshoot for your cai Surface Area to Surface Volume Volume Length WithighSurtace Area Ratio Bathroom Door favorite Your textbook Microwave or a box about that Refrigerator 3sny-08/1 Dimensions of a Closet 5. Answer the following questions: A. What changes, if any, did you notice in the surface area of the 3 cell scenarios?

Explanation / Answer

1 )

Given that

Length , breadth , height of bathroom door are

l = 1 3/8 b = 30 3/4 height = 79

= 11 / 8 = 123 / 4

Surface area of bathroom door = 2 ( lb + bh + lh )

= 2 ( 11/8 x123/4 + 123/4 x 79 + 11/8 x 79 )

= 2 ( 42.28 + 2429.25 + 108.63 )

= 5160.32 square inches

Volume of bathroom door = lbh

= 11/8 x 123/4 x 79

= 3340.22 cubic inches

Surface area to volume ratio of bathroom door = 5160.32 / 3340.22

= 1.545 inches

2 )

Given that

Length , breadth , height of favourite textbook are

l = 2 b = 8 3/4 height = 10 1/4

= 35/ 4 = 41/4

Surface area of favourite textbook= 2 ( lb + bh + lh )

= 2 ( 2 x35/4 + 35/4 x 41/4+ 2 x 41/4)

= 2 ( 17.5 + 89.69 + 20.5)

= 255.38 square inches

Volume of favourite textbook = lbh

= 2 x 35/4 x 41/4

= 179.38cubic inches

Surface area to volume ratio of favourite textbook = 255.38 / 179.38

= 1.433 inches

3 )

Given that

Length , breadth , height of microwave are

l = 14 b = 20 1/2 height = 11 1/4

= 41 / 2 = 45/4

Surface area of microwave = 2 ( lb + bh + lh )

= 2 ( 14 x41/2 + 41/2 x 45/4+ 14 x45/4 )

= 2 ( 287 + 230.63 + 157.5)

= 1350.26 square inches

Volume of microwave = lbh

= 14 x 41/2 x 45/4

= 3228.75 cubic inches

Surface area to volume ratio of microwave = 1350.26/ 3228.75

= 0.418 inches

4 )   

Given that

Length , breadth , height of refrigerator are

l = 30 1/4 b = 35 3/4 height = 68 1/2

= 121/4 = 143/ 4 = 137/2

Surface area of refrigerator = 2 ( lb + bh + lh )

= 2 ( 121/4 x143/4 + 143/4 x 137/2 + 121/4 x 137/2 )

= 2 ( 1081.44 + 2448.89+ 2072.125 )

= 11204.91 square inches

Volume of refrigerator= lbh

= 121/4 x 143/4 x 137/2

= 74078.47 cubic inches

Surface area to volume ratio of refrigerator = 11204.91 / 74078.47

= 0.151 inches

5 )

Given that

Length , breadth , height of dimensions of closest are

l = 27 b = 31 height = 96

Surface area of dimensions of closest = 2 ( lb + bh + lh )

= 2 ( 27x31 + 31x96 + 27x96)

= 2 ( 837 + 2976 + 2592 )

= 12810 square inches

Volume of dimensions of closest = lbh

= 27 x 31 x 96

= 80352 cubic inches

Surface area to volume ratio of dimensions of closest = 12810 / 80352

= 0.159 inches

  

  

  

  

  

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