Question

Use the volume formula to find the volume of the prism.

A. 5 cubic units

B. 9 cubic units

C. 2 1/4 cubic units

D. 4 1/2

Answer 1

Explanation:

⋆
`\underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} :`

• Breadth( b ) =
  `1 (1)/(2)` , Length ( l ) = 2 & height ( h ) =
  `1 (1)/(2)`

⋆
`\underline{ \underline{ \large{ \tt{T \:O \: \: F \: I\:N \:D}}}} :`

• Volume of the prism

⋆
`\underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I\: O \: N}}}} :`

[ Volume of a cuboid is calculated as the product of its dimensions }

☪
`\boxed{ \large{ \sf{Volume \: of \: a \: cuboid = l * b * h }}}`

~Plug the known values and then simplify!

⟶
`\large{{2 * 1 (1)/(2) * 1 (1)/(2) }}`

~Convert mixed number into improper fraction :

⟶
`\large{2 * (2 * 1 + 1)/(2) * (2 * 1 + 1)/(2)}`

⟶
`\large{2 * (3)/(2) * (3)/(2)}`

~To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator :

⟶
`\large{ (2 * 3 * 3)/(1 * 2 * 2)}`

⟶
`\large{ \frac{ \cancel{2} \: * 3 * 3}{1 * \cancel{2}* 2}}`

⟶
`\large (9)/(2)`

~Convert the improper fraction into mixed number :

⟶
`\boxed{ \large { 4 (1)/(2) \: \text{units}^(3) }}`

☥
`\huge{ \boxed{ \large{ \text{OUR \: FINAL \: ANSWER} : \boxed{\sf{4 (1)/(2) \: \: units^(3) }}}}}`

Hope I helped ! ♡

Have a wonderful day / night ! ツ

Let me know if you have any questions regarding my answer! ☄

✎
`\underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}` !! ♕

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