Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet?
6 feet., 16 feet., 12 feet., 4 feet.
Solution:
The volume of a pyramid refers to the space enclosed between its faces.
A square pyramid can be called a pentahedron because it has five faces: four triangular faces and one square face.
Given base length a = 2 feet
Given volume = 8 cubic feet
But volume of a square pyramid with base a units and height h units is
Volume v = 1/3a2h
On replacing the given a and V values
8 = 1/3 × 22 × h
⇒ 8 = 4 h /3
On dividing both the sides by 4
⇒ h = 6 feet
Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet?
Summary:
The height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 is 6 feet.