Respuesta :
Answer:
First Option 3 by 3 by 40
Fourth Option 2.5 by 12 by 12
Fifth Option 3.6 by 10 by 10
Step-by-step explanation:
The volume of a straight prism is given by the following formula:
[tex]V = W * L * h[/tex]
Where
w is the width
L is the length
h is the height
In this case we have a right square prism. This means that
[tex]W = L[/tex]
Therefore the volume will be:
[tex]V = W ^ 2h = 360[/tex]
The prism will have two sides of equal length and the product of those sides must be equal to 360 cubic units
If we decompose 360 into its prime factors we get:
[tex]360 = 3^2(2^35)[/tex]
Rewriting the terms we have
[tex]360 = 3*3*(2*2*2*5)=3*3*40\\\\\\360 = (3*2*2)(3*2*2)*2.5=12*12*2.5\\\\\\360 = (3*2)(3*2)*5*2 = 3.6*10*10[/tex]
Observe that: [tex]3*3*40=360[/tex] → First Option
[tex]2.5 *12*12=360[/tex] → Fourth Option
[tex]3.6*10*10=360[/tex] → Fifth Option
The dimensions of the right square prism are:
3 by 3 by 40
2.5 by 12 by 12
3.6 by 10 by 10
What is a right square prism?
A right square prism is a three-dimensional object that is made up of a square base and four rectangular sides.
The volume of a right square prism = length x width x height.
What are the dimensions of the right square prism?
The required dimensions when multiplied must add up to 360 cubic units.
- 3 by 3 by 40 = 360
- 4 by 4 by 20 = 320
- 5 by 5 by 14 = 350
- 2.5 by 12 by 12 = 360
- 3.6 by 10 by 10 = 360
To learn more about prisms, please check: https://brainly.com/question/25829717
