Answer:
The volume of the square pyramid is 766.3 in³ approximately.
Explanation:
To find the volume of the square pyramid whose perimeter of the base is 44 in and a height of 19 in, we will follow the steps below:
Write down the formula for calculating volume of the square pyramid
v=A(h/3)
where v is the volume, A is the area of the base and h is the height.
From the question given, the perimeter of the base is 44.
If the perimeter of the base is 44, then we can say;
4l = 44
Dividing both-side by 4
l = 11
The length of the base = 11
Area of the base = l² =11² = 121 in²
Als from the question given, height is 19 in.
we can now proceed to plug in our values into the formula
v=A(h/3)
v = 121 (19/3)
v≈766.3 in³ to the nearest tenth.
Therefore, the volume of the square pyramid is 766.3 in³ approximately.