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Maru [420]
3 years ago
6

Abe made rectangular prism that is 48 cubic inches. what is 1 set of possible dimension for Abe's rectangular prism?

Mathematics
1 answer:
julsineya [31]3 years ago
5 0
You just need three numbers that multiply to make 48. Because the volume of  a rectangular prism is abh.
1 1 48
2 1 24
3 1 16
4 1 12
6 1 8
2 3 8
2 2 12
2 4 6
3 4 4
3 2 8
etc
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Use the quadratic formula to find:

x

=

1

±

√

85

5

Explanation:

5

x

2

−

10

x

−

12

is of the form  

a

x

2

+

b

x

+

c

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a

=

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,  

b

=

−

10

and  

c

=

−

12

This has discriminant  

Δ

given by the formula:

Δ

=

b

2

−

4

a

c

=

(

−

10

)

2

−

(

4

×

5

×

−

12

)

=

100

+

240

=

340

=

2

2

⋅

85

This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

=

−

b

±

√

Δ

2

a

=

10

±

√

340

10

=

10

±

2

√

85

10

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larisa [96]

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