Volume is a three-dimensional scalar quantity. The volume of the box is 729 cm³.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a room or box that is the shape of a rectangular prism is calculated by multiplying the length, width, and height of the prism.
Volume = Length × Width × Height
Given that length of the box is 27 cm. Also, it is mentioned that the width of a box is one third of its length. Therefore, the width of the box is,
Width of the box = (1/3) × 27cm = 9cm
Further, the height of the box is one third of its width. Therefore, the height of the box is,
Height of the box = (1/3) × 9cm = 3 cm
Furthermore, the volume of the box can be written as,
Volume of the box = Length × Width × Height
= 27cm × 9cm × 3cm
= 729 cm³
Hence, the volume of the box is 729 cm³.
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