Question

What is the volume of the prism?

enter your answer in the box as a mixed number in simplest form.​

Answer 1

67 1/2 cm

Explanation:

v=lxwxh

v=4 1/2x 6x 2 1/2

v=67 1/2 cm^3

Answer 2

• 
  `\sf{67(1)/(2)\:cm^2}`

Solution:

Volume of rectangular prism is given by:

‎ㅤ‎ㅤ‎ㅤ➙ V = l × b × h

Here, we have :

• length = 6 cm
• Breadth =
  `\sf{2(1)/(2)}`cm.
• height =
  `\sf{4(1)/(2)}`cm

Therefore, volume:

`\implies\quad \tt {V =l* b* h }`

`\implies\quad \tt { V =6* 2(1)/(2)* 4(1)/(2)}`

`\implies\quad \small{\tt { V = 6* ((2* 2)+1)/(2)* ((4* 2)+1)/(2)}}`

`\implies\quad \tt {V = 6* (4+1)/(2)* (8+1)/(2) }`

`\implies\quad \tt {V =6* (5)/(2)*(9)/(2) }`

`\implies\quad \tt {V =(6* 5* 9)/(2* 2) }`

`\implies\quad \tt { V =\cancel{(270)/(4)}}`

`\implies\quad \tt { V = (135)/(2)}`

`\implies\quad \underline{\underline{\pmb{\tt { V = 67(1)/(2)\:cm^2}}}}`