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A gift box in the shape of a rectangular prism has a volume of 384 cubic inches. The base of the box is a square with an area of 64 square inches.
What is the height of the gift box in inches?
To find the height of the gift box, we first need to calculate the dimensions of the box.
The area of the base (a square) is 64 square inches, which means each side of the square base is 8 inches (since 8 x 8 = 64).
Since the base is a square, the length and width of the rectangular prism are also 8 inches.
Now, let's calculate the height of the box.
Volume of a rectangular prism = length x width x height
384 cubic inches = 8 inches x 8 inches x height
384 = 64 x height
Divide both sides by 64:
height = 384 / 64
height = 6 inches
Therefore, the height of the gift box is 6 inches.