Question

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?

Enter your answer in the box.
 
___in³

Answer 1

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Question 610455: The length, width, and height of the right rectangular prism are tripled. Describe the effect on the surface
area.
Lenght = 24in
Width = 9in
Height = 3in
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The length, width, and height of the right rectangular prism are tripled. Describe the effect on the surface
area.
Lenght = 24in
Width = 9in
Height = 3in
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SA is a function of the square of the dim's.


3^2 = 9
SA is 9 times the original.
----------------
SA = 2*(L*W + L*H + W*H)
-----
x3 --> SA = 2*(3L*3W + 3L*3H + 3W*3H)
= 9 times the original.

Answer 2

Formula we will be using:
(i) Volume of a rectangular prism = Length×Width×Height
----------------------------------------------------------------------------------------
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