The volume of the square pyramid, to the nearest tenth, is determined as: 1.5 cubic inch.
Volume of a pyramid is given as, V = 1/3 × a² × h, where:
a = side length of the square base
h = height of the pyramid
Given the following:
Perimeter of the base = 5.1 in.
Side length of the square base = 5.1/4
The height of the pyramid = 2.7 in.
Plug in the values into V = 1/3 × a² × h:
Volume of the square pyramid = 1/3 × (5.1/4)² × 2.7
Volume of the square pyramid = 1/3 × 1.625625 × 2.7
Volume of the square pyramid = 1.4630625
Volume of the square pyramid = 1.5 cubic inch (to the nearest tenth of a cubic inch).
Thus, the volume of the square pyramid with the given perimeter, to the nearest tenth, is determined as: 1.5 cubic inch.
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