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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 ! ♡
Have a wonderful day / night ! ツ
Let me know if you have any questions regarding my answer! ☄
✎ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
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