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olga55 [171]
3 years ago
8

Find the width of the rectangular prism when the surface area is 208 centimeters

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0

Use the surface area formula of a rectangular prism to find the width. (I have changed it to use the same terms given in the problem).


A

=

2

(

d

w

+

h

w

+

h

d

)


Because of the given information, it is known that:


A

=

208


h

=

8


d

=

6


The width is not know, so let it keep it's variable

w

. But substitute the other values into the equation:


A

=

2

(

d

w

+

h

w

+

h

d

)


208

=

2

[

6

w

+

8

w

+

(

8

)

(

6

)

]


208

=

2

(

14

w

+

48

)


Use the distributive property to solve the right side of the equal sign:


208

=

2

(

14

w

+

48

)


208

=

28

w

+

96


112

=

28

w


112

28

=

w


4

=

w


The width is

4

.

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