$$ 4116 \cos : 1 \mathrm{y} $$ W+actiug cemot 8 Jesis makes and sells eube-shaped lowelry boxes. She dealans the Jowelry boxes in different sises and with different patterns. Jess wants to include the volume of each box on her price list. *3 $$ s= $$ length (in.) of one side of the jewelry box *) When Jess mails a jewelry box to a customer, she packs it inside a larger shipping box. The sides of a shipping box are 2 inches longer then the stctes of a jewetry box. Which expression represents the volume of a shipping box? $$ (s+2)^{3} $$ Jess is mailing a jewelry box with sides that are 8 inches long. What is the volume of the shipping box? $$ \square $$ in. $$ ^{3} $$

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UpStudy AI · Accepted Answer

Given that the side of the jewelry box is $$ s $$ inches, the side of the shipping box is $$ s+2 $$ inches. Therefore, the volume of the shipping box is given by

$$
(s+2)^3.
$$

For a jewelry box with side length $$ 8 $$ inches, substitute $$ s=8 $$:

$$
(8+2)^3 = 10^3.
$$

Calculating $$ 10^3 $$:

$$
10^3 = 1000.
$$

Thus, the volume of the shipping box is $$ \boxed{1000} $$ in.$$ ^3 $$.
The volume of the shipping box is $$ 1000 $$ cubic inches.

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