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can someone answer both of these question and show work for both of them

question 15. You are sending a package in the mail. The box is a cube measuring 14 inches on all sides. How many cubic inches is the package.


question 16. You sent an email to 8 friends. They each forwarded the email to 8 friends, and those friends each forwarded the email to 8 friends. The chain of emails is represented by the expression [tex]8+8^{2}+8^{3}[/tex]. How many people were sent your email.


i will give brainliest if you answer both and show work for both the 2 question are in the picture also

can someone answer both of these question and show work for both of them question 15 You are sending a package in the mail The box is a cube measuring 14 inches class=

Respuesta :

mhanifa

Answer:

  • 15) 2744 in³
  • 16) 584 people

Step-by-step explanation:

Question 15

Find the volume of the cube

  • V = a³ = (14 in)³ = 2744 in³

Question 16

Find the value of the expression

  • 8 + 8² + 8³ = 8 + 64 + 512 = 584
semsee45

Answer:

15)  2744 in³

16)  584

Step-by-step explanation:

Question 15

Volume of a cube

[tex]\sf V=s^3[/tex]

(where s is the side length)

Given:

  • s = 14 in

Substitute the given value into the formula and solve for V:

[tex]\implies \sf V=14^3[/tex]

[tex]\implies \sf V=14 \cdot 14 \cdot 14[/tex]

[tex]\implies \sf V=196 \cdot 14[/tex]

[tex]\implies \sf V=2744\:\:in^3[/tex]

Question 16

Given expression:

  • [tex]\sf 8 + 8^2+8^3[/tex]

To solve:

[tex]=\sf 8 + (8 \cdot 8) + (8 \cdot 8 \cdot 8)[/tex]

[tex]\sf = 8 + 64 + 512[/tex]

[tex]\sf = 72+512[/tex]

[tex]= \sf 584[/tex]

Therefore, 584 people were sent your email.

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