Simon offered a customer a cubic box with 3-inch sides. The customer told Simon to increase each side of the box by an inch

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Answer:

64 [tex]in^{3}[/tex]

Step-by-step explanation:

The volume of a cubic box with side length of s inches can be calculated using the following formula

[tex]V = s^{3} in^{3}[/tex]

If the initial side length was 3 inches and the customer asked Simon to increase each one of the sides of the box by one inch, then the new side lengths now become 4 in (3+1 = 4)

[tex]V = 4^{3} in^{3} = 64 in^{3}[/tex]

Therefore the final and new volume is

64 [tex]in^{3}[/tex]

Answer:

The volume of the new box is 64 cubic inches. If each side of the box was increased by 1 inch, the new measure of each side would be 4 inches. 4 times 4 times 4 equals 64.