Question

which of the following represents the width, in m, of a right rectangular prism that has a volume of 200 m³, a height of 5 m, and a length of 10 m? reference sheet a = πr² c = 2πr a = lw a = 1/2bh c² = a² + b² special right triangles v = lwh v = πr²h v = 4/3πr³ v = 1/3πr²h v = 1/3lwh the number of degrees of arc in a circle is 360. the number of radians of arc in a circle is 2π. the sum of the measures in degrees of the angles of a triangle is 180. 185 20 10,000 4

Explanation:

Step1: Recall volume formula

The volume formula for a right - rectangular prism is $V = lwh$, where $V$ is volume, $l$ is length, $w$ is width and $h$ is height.

Step2: Rearrange formula for width

We want to find $w$, so we can rewrite the formula as $w=\frac{V}{lh}$.

Step3: Substitute given values

Given $V = 200m^{3}$, $l = 10m$ and $h = 5m$. Substitute these values into the formula: $w=\frac{200}{10\times5}$.

Step4: Calculate the result

First, calculate the denominator $10\times5 = 50$. Then, $\frac{200}{50}=4$.

Answer:

D. 4