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The volume of this right prismis 2500 What is the hegt, z. of the prisma Enter your answer to the bou X=​

The Volume Of This Right Prismis 2500 What Is The Hegt Z Of The Prisma Enter Your Answer To The Bou X class=

Sagot :

Answer:

10 units.

Step-by-step explanation:

Given:

  • [tex]\text{Volume of prism = 2500 units}^{3}[/tex]
  • [tex]\text{Length: 25 units}[/tex]
  • [tex]\text{Width: 10 units}[/tex]

Formula:

[tex]\text{Volume of rectangular prism = Length} \times \text{Width} \times \text{Height}[/tex]


Substitute the length, width, and the volume of the prism in the formula

[tex]\implies \text{2500 = 25} \times 10 \times \text{Height}[/tex]

Divide 25 × 10 to both sides of the equation to isolate "Height"

[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \dfrac{25 \times 10 \times \text{Height}}{25\times 10}[/tex]

[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \text{Height}[/tex]

Simplify the left hand side of the equation

[tex]\implies \dfrac{{25 \times 10 \times 10}}{25 \times 10} = \text{Height} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [2500 =25 \times 10 \times 10][/tex]

[tex]\implies \dfrac{{10}}{1} = 10 = \text{Height}[/tex]

Therefore, the measure of the height is 10 units.

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