Answer:
766.3 square inches
Step-by-step explanation:
The volume of pyramid is given by
volume = 1/3(area of base) * height of pyramid
Given shape of base is square and
Perimeter of that square is 44inches
We know that perimeter for square is given by 4* length of side
Thus,
44 inches = 4* length of side
Length of side = 44/4 = 11 inches
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Area of square is given by side*side.
Thus, area of square base of pyramid is = 11*11 inches square = 121 inches square
Now that we have area of base and height of pyramid .
Substituting these value in formula for volume of pyramid we have
volume = 1/3(area of base) * height of pyramid
volume = 1/3*(121) * 19 = 2,299
volume = 766.33
Volume of square pyramid rounded to nearest tenth is 766.3 square inches
