Answer:
114.33 cubic inches.
Explanation:
The volume of a pyramid can be calculated using the formula below:
[tex]V=\frac{1}{3}\times\text{Base Area}\times Height[/tex]
Since the completed puzzle is a square pyramid:
[tex]V=\frac{1}{3}\times l^2\times h[/tex]
• The side length of the square, l = 7 inches
,
• The height of the completed puzzle,h = 7 inches
Therefore:
[tex]\begin{gathered} V=\frac{1}{3}\times7^2\times7 \\ =\frac{343}{3} \\ =114.33\text{ cubic inches} \end{gathered}[/tex]
The number of cubic inches of space the completed puzzle will take up on a shelf is 114.33 cubic inches.
