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

Answer:

10 units.

Step-by-step explanation:

Given:

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

Formula:

$\text{Volume of rectangular prism = Length} \times \text{Width} \times \text{Height}$

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

$\implies \text{2500 = 25} \times 10 \times \text{Height}$

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

$\implies \dfrac{\text{2500}}{25 \times 10} = \dfrac{25 \times 10 \times \text{Height}}{25\times 10}$

$\implies \dfrac{\text{2500}}{25 \times 10} = \text{Height}$

Simplify the left hand side of the equation

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

$\implies \dfrac{{10}}{1} = 10 = \text{Height}$

Therefore, the measure of the height is 10 units.