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A bottle that contains hand sanitizer is in the shape of a pyramid with a rectangular base. The length of the base is 2 inches, and the height of the bottle is 6 inches. Suppose the volume of the bottle is 24 in³ . Calculate the width of the base of the bottle.

Answer :

The width of the base of the bottle is 6 inches.

A rectangular pyramid is a three-dimensional figure that is in the shape of a pyramid with a rectangular base.

The volume of a rectangular pyramid can be determined using the formula as follows.

V = lwh/3

where V = volume

l = length of the rectangular base

w = width of the rectangular base

h = height

Using the formula, calculate the width of the base of the bottle.

V = lwh/3

w = 3V/lh

w = 3(24 in³)/(2 in)(6 in)

w = 6 in

Hence, the width of the base of the bottle is 6 inches.

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