Question

Pls help brainliest if correct

Answer 1

Answer:

$\sf d.) \ 3\dfrac{1}{2} \:\ cubic \ feet$

Explanation:

Volume of carton = Length × Width × Height

Here volume:

$volume= 1\dfrac{2}{3} \times 1\dfrac{2}{5} \times 1\dfrac{1}{2}$

rewrite in improper fraction

$= \dfrac{5}{3} \times \dfrac{7}{5} \times \dfrac{3}{2}$

join fractions

$= \dfrac{(5)(7)(3)}{(3)(5)(2)}$

multiply

$= \dfrac{105}{30}$

simplify

$= \dfrac{7}{2}$

rewrite in mixed fraction

$= 3\dfrac{1}{2}$

Answer 2

$\huge\text{Hey there!}$

$\mathsf{1 \dfrac{2}{3}\times 1 \dfrac{2}{5}\times 1\dfrac{1}{2} = volume}$

$\mathsf{\dfrac{1\times3 + 2}{3}\times\dfrac{1\times5 + 2}{5}\times\dfrac{1\times2 + 1}{2} = volume}$

$\mathsf{\dfrac{3 + 2}{3}\times\dfrac{5 + 2}{5}\times\dfrac{2 + 1}{2} = volume}$

$\mathsf{\dfrac{5}{3}\times\dfrac{7}{5}\times\dfrac{3}{2} = volume}$

$\mathsf{\dfrac{5\times7 \times 3}{3\times5 \times 2} = volume}$

$\mathsf{\dfrac{35\times3}{15\times2} = volume}$

$\mathsf{\dfrac{105}{30} = volume}$

$\mathsf{\dfrac{105\div 15}{30\div 15} = volume}$

$\mathsf{\dfrac{7}{2} = volume}$

$\mathsf{3\dfrac{1}{2} \approx volume}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{Option\ D. \ }\frak{3 \dfrac{1}{2}\ cubic\ feet}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$