Question

Find the volume of the triangular prism below if B = 12 cm, h = 8 cm, and L = 27 cm.

Answer 1

$\huge\text{Hey there!}$

$\mathsf{Formula \rightarrow \dfrac{1}{2} \times \bold{b}ase\times\bold{h}eight\times \bold{l}ength}$

$\mathsf{Your\ equation\ should\ look\ like\rightarrow \dfrac{1}{2}\times12\times8\times27}$

$\mathsf{Solving\rightarrow \dfrac{1}{2}\times12\times8\times27}$

$\mathsf{ \dfrac{1}{2}\times12\times8\times27}$

$\mathsf{= \dfrac{1}{2}\times\dfrac{12}{1}\times\dfrac{8}{1}\times\dfrac{27}{1}}$

$\mathsf{= \dfrac{1\times12\times8\times27}{2\times1\times1\times1}}$

$\mathsf{= \dfrac{12\times8\times27}{2\times1\times1}}$

$\mathsf{= \dfrac{96\times27}{2\times1}}$

$\mathsf{= \dfrac{2,592}{2}}$

$\mathsf{= 2.592\div2}$

$\mathsf{= 1,296}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{Option\ C.\ }\frak{1,296\ cm^3}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$

Answer 2

Given:-

• Breadth , (B) = 12 cm
• Height , (H) = 8 cm
• Length, (L) = 27 cm

To Find:-

• Volume of The Triangular prism= ??

Solution:-

$\\ \diamond{\underline{\underline{\sf {\;\; Calculating\; Volume\; of \; Prism :-}}}}$

$\\ \footnotesize{\underline{\boxed {\bf{Volume _{ \{ \red{Triangle} \} } \: = \dfrac{1}{2} \: \times \: B \: \times \: H \: \times \: L}}} }\; \red\bigstar$

Where,

• » B denotes Breadth
• » H denotes Height
• » L denotes Length

$\\ \sf \implies {Volume _{ \{ \red{Triangle} \} } \: = \dfrac{1}{2} \: \times \: B \: \times \: H \: \times \: L}$

$\\ \sf \implies {Volume _{ \{ \red{Triangle} \} } \: = \dfrac{1}{2} \: \times \: 12 \: \times \: 8 \: \times \:27}$

$\\ \sf \implies {Volume _{ \{ \red{Triangle} \} } \: = \dfrac{1}{ \cancel{2}} \: \times \: \cancel{12} \: \times \: 8 \: \times \:27}$

$\\ \sf \implies {Volume _{ \{ \red{Triangle} \} } \: =1 \: \times \: 6 \: \times \: 8 \: \times \:27}$

$\\ \sf \implies {Volume _{ \{ \red{Triangle} \} } \: = \: 6 \: \times \: 8 \: \times \:27}$

$\\ \sf \implies {Volume _{ \{ \red{Triangle} \} } \: = \: \: 48 \: \times \:27}$

$\\ \sf \implies {Volume _{ \{ \red{Triangle} \} } \: = \: \: 1296}$

$\\\implies{\underline{\boxed {\frak{ Volume _{ \{ \red{Triangle} \} } \: = \:\: 1296\: cm^3 }}}}\purple \bigstar$

$\\\qquad \rule{120pt}{3pt}$

Therefore , the volume of Triangular prism is is 1296 cm³.