<h2>
Answer:</h2>
The maximum number of mugs that the larger box can hold is:
64
<h2>
Step-by-step explanation:</h2>
The edge length of box is: 8 inches.
This means that the volume of box is: 8×8×8=512 cubic inches.
Also, the number of mugs a box of edge length 8 in. can hold is: 8
Hence, volume of 1 mug= Volume of box/Number of mugs
Volume of 1 mug= 512/8=64 cubic inches
Now, if the dimension of the box is doubled.
This means that the Volume of new box= 8×Volume of old box
Volume of new box=8×512=4096 cubic inches
Let n be the number of mugs that the new box can hold.
Volume of new box=n×Volume of 1 mug
⇒ 4096=n×64
⇒ n=4096/64
⇒ n=64
Hence, the answer is:
64
