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Ratling [72]
2 years ago
12

The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches, what are the dimens

ions of the bin?
Mathematics
2 answers:
Rom4ik [11]2 years ago
7 0

cubed root of 4896 = 16.98

round to 17

17-1 = 16

17 +1 = 18

16* 17 *18 = 4896

 bin is 16 in x 17 in x 18 in

Archy [21]2 years ago
5 0

Answer:

The dimension of the rectangle is 16\times 17\times 18

Step-by-step explanation:

Given : The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches.

To find : What are the dimensions of the bin?

Solution :

The dimensions of a rectangular bin are consecutive integers.

Let the consecutive integers are x,x+1,x+2

So let, length, l=x

Breadth b=x+1

Height h=x+2

The volume of the bin is

V=l\times b\times h

4896=x\times (x+1)\times (x+2)

4896=(x^2+x)(x+2)

4896=x^3+2x^2+x^2+2x

x^3+3x^2+2x-4896=0

Plot the equation graphically to find the value of x.

Refer the attached figure below.

The value of x is 16.

So, Length is l=16

Breadth is b=x+1=16+1=17

Height is h=x+2=16+2=18

The dimension of the rectangle is 16\times 17\times 18

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