Respuesta :
The square cake can be distributed in such a way that each person out of 15 guest may get 8 [tex]inch^{3}[/tex], with the least amount left over .
The Correct option is (1).
What is Volume of any shape?
The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units.
First find the volume of square cake,
- Volume = l x b x h
= 8 x 8 x 2
=128 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{128}{15}[/tex]
= 8.533 [tex]inch^{3}[/tex]
2.Volume of round cake (d= 6 inch, r=3 inch, h= 3 inch)
Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]
= [tex]\frac{1}{3} *3.14 *3^{2}* 3[/tex]
=[tex]3.14*9[/tex]
=28.26 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{28.26}{15}[/tex]
= 1.884[tex]inch^{3}[/tex]
3.Volume of round cake (d= 8 inch, r=4inch, h= 3 inch)
Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]
= [tex]\frac{1}{3} *3.14 *4^{2}* 3[/tex]
=[tex]3.14*16[/tex]
=50.24 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{50.24}{15}[/tex]
= 3.349 [tex]inch^{3}[/tex]
4. Volume = l x b x h
= 6 x 9 x 2
=108 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{108}{15}[/tex]
= 7.2[tex]inch^{3}[/tex]
According to question each person may get 8 [tex]inch^{3}[/tex].
Only the square cake can be distributed in such a way that each person may get 8 [tex]inch^{3}[/tex], with the least amount left over .
Learn more about volume here:
https://brainly.com/question/7546988
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