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beks73 [17]
3 years ago
13

The number of one-inch cubes that will fit into a box that is 6 inches wide and one inch tall is 54. how long is the box?

Mathematics
2 answers:
Nana76 [90]3 years ago
5 0
54 ÷ 6 = 9

the box is 9 inches long
FrozenT [24]3 years ago
3 0

Answer:

9 inches long is the box.

Step-by-step explanation:

Volume of a cube is given by:

\text{Volume of a cube} = s^3 where, s is the side of the cube

Volume of a box(V) is given by:

V = lwh           .....[1]

where

l is the length , w is the width and h is the height of the box respectively.

As per the statement:

The number of one-inch cubes that will fit into a box that is 6 inches wide and one inch tall is 54.

Volume of one box = 1^3 = 1 in.

then;

Volume of 54 box = 54 inches.

It is also given:

w = 6 inches and h = 1 inch

Substitute in [1] we have;

54 = l \cdot 6 \cdot 1

⇒54 =6l

Divide both sides by 6 we get;

9 = l

or

l = 9 in.

therefore, 9 inches long is the box.

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