Answer:
The volume of the pyramid is 128 cm³
Explanation:
* Lets revise the volume of the pyramid
- The pyramid has one base and the number of side faces depends
on the number of sides of the base
- The volume of any pyramid is 1/3 × Area of its base × its height
* Lets solve the problem
- The pyramid has a square base
- It has four side faces all of them are triangles
- It has five vertices and eight edges
- The area of the base = s², where s is the length of the side of
the square
- The volume of the pyramid is 1/3 × s² × h, where h is the height
of the pyramid
- The base edge length of the base is 2 cm longer than the height
of the pyramid
- The height of the pyramid is 6 cm
∵ The length of the edge of the base is 2 cm longer than the
height of the pyramid
∵ The height of the pyramid (h) = 6 cm
∴ The edge length of the base = 6 + 2 = 8 cm
- The area of the base = s²
∵ s = 8 cm
∴ The area of the base (s²) = 8² = 64 cm²
- The volume of the pyramid = 1/3 × s² × h
∴ Its volume = 1/3 × 64 × 6 = 128 cm³
* The volume of the pyramid is 128 cm³