Question

help me find the missing number please !! hurry also i have to turn this in tomorrow !!

Answer 1

Answer:

The length of cuboid is $\sf{7\dfrac{1}{5} \: in}$

Step-by-step explanation:

Here's the required formula to find the length of cuboid :

$\longrightarrow{\pmb{\sf{V = \ell \times w \times h}}}$

• $\pink\star$ V = Volume
• $\pink\star$ l = length
• $\pink\star$ w = width
• $\pink\star$ h = height

Substituting all the given values in the formula to find the length of cuboid :

• $\purple\star$ V = 60
• $\purple\star$ l = ?
• $\purple\star$ w = 2½
• $\purple\star$ h = 3⅓

$\implies{\sf{V = \ell \times w \times h}}$

$\implies{\sf{60= \ell\times 2\dfrac{1}{2} \times 3\dfrac{1}{3}}}$

$\implies{\sf{60= \ell\times \dfrac{4 + 1}{2} \times \dfrac{9 + 1}{3}}}$

$\implies{\sf{60= \ell\times \dfrac{5}{2} \times \dfrac{10}{3}}}$

$\implies{\sf{60= \ell\times \dfrac{5 \times 10}{2 \times 3}}}$

$\implies{\sf{60= \ell\times \dfrac{50}{6}}}$

$\implies{\sf{\ell = 60 \times \dfrac{6}{50}}}$

$\implies{\sf{\ell = \dfrac{60 \times 6}{50}}}$

$\implies{\sf{\ell = \dfrac{360}{50}}}$

$\implies{\sf{\ell = \dfrac{36 \cancel{0}}{5 \cancel{0}}}}$

$\implies{\sf{\ell = \dfrac{36}{5}}}$

$\implies{\sf{\ell = 7\dfrac{1}{5}}}$

$\star{\underline{\boxed{\tt{\red{\ell = 7\dfrac{1}{5} \: in}}}}}$

Hence, the length of cuboid is 7(1/5) in.

$\rule{300}{2.5}$