Question

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

Answer 1

Step-by-step explanation:

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

• Breadth( b ) = $1 \frac{1}{2}$ , Length ( l ) = 2 & height ( h ) = $1 \frac{1}{2}$

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

• 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 }

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

~Plug the known values and then simplify!

⟶ $\large{{2 \times 1 \frac{1}{2} \times 1 \frac{1}{2} }}$

~Convert mixed number into improper fraction :

⟶ $\large{2 \times \frac{2 \times 1 + 1}{2} \times \frac{2 \times 1 + 1}{2}}$

⟶ $\large{2 \times \frac{3}{2} \times \frac{3}{2}}$

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

⟶ $\large{ \frac{2 \times 3 \times 3}{1 \times 2 \times 2}}$

⟶ $\large{ \frac{ \cancel{2} \: \times 3 \times 3}{1 \times \cancel{2}\times 2}}$

⟶ $\large \frac{9}{2}$

~Convert the improper fraction into mixed number :

⟶ $\boxed{ \large { 4 \frac{1}{2} \: \text{units}^{3} }}$

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

Hope I helped ! ♡

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