Question

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

Answer 1

10 units.

Explanation:

Given:

• 
  `\text{Volume of prism = 2500 units}^(3)`
• 
  `\text{Length: 25 units}`
• 
  `\text{Width: 10 units}`

Formula:

`\text{Volume of rectangular prism = Length} * \text{Width} * \text{Height}`

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

`\implies \text{2500 = 25} * 10 * \text{Height}`

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

`\implies \frac{\text{2500}}{25 * 10} = \frac{25 * 10 * \text{Height}}{25* 10}`

`\implies \frac{\text{2500}}{25 * 10} = \text{Height}`

Simplify the left hand side of the equation

`\implies \frac{{25 * 10 * 10}}{25 * 10} = \text{Height} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [2500 =25 * 10 * 10]`

`\implies \frac{{10}}{1} = 10 = \text{Height}`

Therefore, the measure of the height is 10 units.