Astrudmartinareyes02idn
Answered

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The volume of a rectangular prism is 600 cm3. The prism is 10 cm long and 5 cm wide. How high is the prism?

Sagot :

Yuzumiyaparkidn

Answer:

ANSWER: 12 cm

Step-by-step explanation:

10 x 5 = 50

600 / 50 = 12 cm high

10 x 5 x 12 = 600

Hanimeyaidn

HEIGHT

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[tex]\large\sf\underline{Problem:} [/tex]

  • The volume of a rectangular prism is 600 cm3. The prism is 10 cm long and 5 cm wide. How high is the prism?

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[tex]\large\sf\underline{Answer:}[/tex]

[tex] \qquad \qquad \huge \rm12 \: cm[/tex]

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[tex]\large\sf\underline{Solution:}[/tex]

Solve the equation for h.This will give you the height of your prism.

  • [tex]\bold{Formula\:||\:Volume = (l) (w) (h) }[/tex]

your equation is 600 = 10 × 5h , you would first need to multiply 10 by 5 from each side, then divide each side by 600.

[tex] \qquad \qquad\rm 600 = 10\:\cdot\: 5h \\ \: \: \qquad \rm 600 = 50h \\ \: \: \: \qquad\rm \frac{600}{50} = \frac{50h}{50} \\ \qquad \: \: \: \: \boxed{\rm 12\:cm}[/tex]

Therefore, the height of your prism is 12 cm

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