Question

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 $8+8^{2}+8^{3}$. 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

Answer 1

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

Answer 2

Answer:

15)  2744 in³

16)  584

Step-by-step explanation:

Question 15

Volume of a cube

$\sf V=s^3$

(where s is the side length)

Given:

• s = 14 in

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

$\implies \sf V=14^3$

$\implies \sf V=14 \cdot 14 \cdot 14$

$\implies \sf V=196 \cdot 14$

$\implies \sf V=2744\:\:in^3$

Question 16

Given expression:

• $\sf 8 + 8^2+8^3$

To solve:

$=\sf 8 + (8 \cdot 8) + (8 \cdot 8 \cdot 8)$

$\sf = 8 + 64 + 512$

$\sf = 72+512$

$= \sf 584$

Therefore, 584 people were sent your email.