What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tenth

The volume of the square pyramid is 766.3 in³ approximately.

Step-by-step 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.

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