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Roman55 [17]
2 years ago
13

Volume of a rectangular prism.. PLEASE HELP

Mathematics
1 answer:
kondaur [170]2 years ago
7 0
\text {Volume = } \dfrac{5}{2x + 8}   \times  \dfrac{x+4}{4}  \times  \dfrac{12}{x}

---------------------------------------------------
Take out (x + 4) as a common factor :
---------------------------------------------------
\text {Volume = } \dfrac{5}{2(x + 4)}   \times  \dfrac{x+4}{4}  \times  \dfrac{12}{x}

---------------------------------------------------
Cross out (x + 4) :
---------------------------------------------------
\text {Volume = } \dfrac{5}{2}   \times  \dfrac{1}{4}  \times  \dfrac{12}{x}

---------------------------------------------------
Rewrite 12 as 4 x 3 :
---------------------------------------------------
\text {Volume = } \dfrac{5}{2}   \times  \dfrac{1}{4}  \times  \dfrac{4 \times 3}{x}

---------------------------------------------------
Cross out 4 :
---------------------------------------------------
\text {Volume = } \dfrac{5}{2}   \times  \dfrac{ 3}{x}

---------------------------------------------------
Combine into single fraction:
---------------------------------------------------
\text {Volume = } \dfrac{15}{2x}
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