Question

oabc is a triangular pyramid with a base area of 15 CM square and a height of 4 cm find the volume of the triangular pyramid​

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\sf\bullet Area\:of\:base\:of\:pyramid=15cm{}^{2}\\ \\ \sf\bullet Height\:of\: pyramid=4cm$

We Have to find the Volume of pyramid

$\boxed{\sf{Volume\:of\: pyramid=\dfrac{1}{3}\times Area\:of \:base\times height}}$

$\underline{\sf{\red{A.T.Q:-}}}$

$\sf\implies Volume=\dfrac{1}{3}\times 15\times 4\\ \\ \sf\implies Volume=\dfrac{1}{\cancel3}\times \cancel{15}\times 4\\ \\ \sf\implies Volume=5\times 4\\ \\ \sf\implies Volume_{Pyramid}=20cm{}^{3}$

$\underline{\sf{\dag{\:\: Volume\:of \: pyramid=20cm{}^{3}}}}$

Answer 2

$\huge\bold\green{Question}$

OABC is a triangular pyramid with a base area of 15 CM square and a height of 4 cm find the volume of the triangular pyramid .

$\huge\bold\green{Answer}$

→Volume of pyramid is 20 cm³

GIVEN :-

Areaof base of pyramid = 15 cm²

Height of pyramid = 4 cm²

According to the question we have to find out Volume of pyramid :-

$\tt\green{Volume\:of\: pyramid=\dfrac{1}{3}\times Area\:of \:base\times height}$

Hence, according to the question by applying formula , we can find it :-

$\begin{lgathered}\tt= Volume=\dfrac{1}{3}\times 15\times 4\\ \\ \tt = Volume=\dfrac{1}{\cancel3}\times \cancel{15}\times 4\\ \\ \tt = Volume=5\times 4\\ \\ \tt = Volume of Pyramid=20cm{}^{3}\end{lgathered}$

Hence, the required Volume of pyramid is 20 cm³