Question

OABC is a triangular pyramid with a base area of 25cm² and a height of 8cm. find the volume of the triangular pyramid​

Answer 1

Answer:

SOLUTION:−

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

∙Areaofbaseofpyramid=15cm

2

∙Heightofpyramid=4cm

We Have to find the Volume of pyramid

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

Volumeofpyramid=

3

1

×Areaofbase×height

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

A.T.Q:−

\begin{gathered}\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}\end{gathered}

⟹Volume=

3

1

×15×4

⟹Volume=

3

1

×

15

×4

⟹Volume=5×4

⟹Volume

Pyramid

=20cm

3

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

†Volumeofpyramid=20cm

3

Answer 2

$\huge\cal\colorbox{aqua}{☞Answer☜}$

Volume of triangular pyramid is 66.67 (approx.)

$\huge\cal\colorbox{aqua}{☞Steps to do☜}$

Formula for volume of triangular pyramid is:

= ⅓ x base area x height

= ⅓ x 25 x 8

= 200/3

= 66.666…

≈ 66.67 cm³