The possible length and width of the rectangular box with volume 2,592 cubic centimeters is (1,144) (2,72), (3,48),(4,36),(6,24) and (8,18) cm.
What is of volume of rectangular prism?
Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
[tex]V=w\times h\times l[/tex]
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
The volume of a rectangular box is 2,592 cubic centimeters. The height of the box is 18 cm. Put the values in the above formula,
[tex]2592=w\times (18)\times l\\\dfrac{2592}{18}=wl\\144=wl[/tex]
The product of length and width is 144. Thus, the pair of possible length and width can be (1,144) (2,72), (3,48),(4,36),(6,24) and (8,18) as the product of these values is equal to 144.
Hence, the possible length and width of the rectangular box with volume 2,592 cubic centimeters is (1,144) (2,72), (3,48),(4,36),(6,24) and (8,18) cm.
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