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The number of one-inch cubes that will fit into a box that is ? inches wide, 17 inches long, and one inch high is 102.

Respuesta :

6 inches wide.

You know that the total number of cubes is 102. And since the box is only 1 inch tall, there's just 1 layer of cubes. You also know that the length of the box is 17 inches. So simply divide 102 by 17 to get the width of the box.
102 / 17 = 6

Answer: Width of box must be 6 inches.

Step-by-step explanation:

Since we have given that

Length of box = 17 inches

Height of box = 1 inch

Width of box be 'b'.

Volume of box = 102 cubic inch.

As we know that

[tex]Volume=Lbh\\\\102=17\times 1\times w\\\\102=17w\\\\w=\dfrac{102}{17}\\\\w=6[/tex]

Hence, width of box must be 6 inches.