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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


Use The Volume Formula To Find The Volume Of The Prism A 5 Cubic Units B 9 Cubic Units C 2 14 Cubic Units D 4 12 class=

Sagot :

Step-by-step explanation:

⋆ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} : [/tex]

  • Breadth( b ) = [tex]1 \frac{1}{2} [/tex] , Length ( l ) = 2 & height ( h ) = [tex]1 \frac{1}{2} [/tex]

⋆ [tex] \underline{ \underline{ \large{ \tt{T \:O \: \: F \: I\:N \:D}}}} : [/tex]

  • Volume of the prism

⋆ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I\: O \: N}}}} : [/tex]

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

☪ [tex] \boxed{ \large{ \sf{Volume \: of \: a \: cuboid = l \times b \times h }}}[/tex]

~Plug the known values and then simplify!

⟶ [tex] \large{{2 \times 1 \frac{1}{2} \times 1 \frac{1}{2} }}[/tex]

~Convert mixed number into improper fraction :

⟶ [tex] \large{2 \times \frac{2 \times 1 + 1}{2} \times \frac{2 \times 1 + 1}{2}} [/tex]

⟶ [tex] \large{2 \times \frac{3}{2} \times \frac{3}{2}} [/tex]

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

⟶ [tex] \large{ \frac{2 \times 3 \times 3}{1 \times 2 \times 2}} [/tex]

⟶ [tex] \large{ \frac{ \cancel{2} \: \times 3 \times 3}{1 \times \cancel{2}\times 2}} [/tex]

⟶ [tex] \large \frac{9}{2} [/tex]

~Convert the improper fraction into mixed number :

⟶ [tex] \boxed{ \large { 4 \frac{1}{2} \: \text{units}^{3} }}[/tex]

☥[tex] \huge{ \boxed{ \large{ \text{OUR \: FINAL \: ANSWER} : \boxed{\sf{4 \frac{1}{2} \: \: units^{3} }}}}}[/tex]

Hope I helped ! ♡

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

✎ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

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