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Irina18 [472]
3 years ago
12

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

Mathematics
2 answers:
3241004551 [841]3 years ago
7 0

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

Step-by-step explanation:

The volume of a pyramid is given by :-

\text{Volume}=\dfrac{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-(\dfrac{s}{2})^2}\\\\\Rightarrow\ h=\sqrt{26^2-(\dfrac{48}{2})^2}\\\\\Rightarrow\ h=10\ cm

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

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

Readme [11.4K]3 years ago
3 0
The volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm = 7,680cm^3
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