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A right rectangular prism has a length of 5 in., a width of 3 in., and a height of 2 in. The dimensions of the prism are tripled.



What is the volume of the enlarged prism?



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Verified Answer :

(5•3)•(3•3)•(2•3)
15•9•6 = 810 in

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Answer:

Length of the  original prism =5 in

Width of the  original prism =3 in

Height of the  original prism =2 in

Enlarged prism:

Tripling the dimension means multiplying each side length by 3.

New length = 3 times the length of the  original prism =3×5=15 in

New width = 3 times the width of the  original prism =3×2=6 in

New height= 3 times the height of the  original prism =3×3=9 in

Volume of enlarged prism =  New length×New width×New height= 15×6×9=810 in³

Answer: 810 in³

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