Question

Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm.

Answer 1

The volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm = 7,680cm^3

Answer 2

Answer:
`\text{V}=7,680\ cm^3`

Explanation:

The volume of a pyramid is given by :-

`\text{Volume}=(1)/(3)\text{base area *height}`

Given: Slant height of the pyramid (l)= 26 cm

The base edge of the pyramid (s)=48 cm

Now, the height of the pyramid is given by :

`h=\sqrt{l^2-((s)/(2))^2}\\\\\Rightarrow\ h=\sqrt{26^2-((48)/(2))^2}\\\\\Rightarrow\ h=10\ cm`

Now, the volume of the square pyramid is given by :-

`\text{V}=(1)/(3)(48)^2(10)\\\\\Rightarrow\ \text{V}=7680\ cm^3`