The rectangular prism shown below has a volume of 306 cubic meters. What is the height of the prism? Use V=lwh. I know w=6, l=6& V=306
My mind went blank. Plz help
306 = 6 * 6 * h
306/36 = h
No problem! To find the height of the rectangular prism, we can use the formula: V = lwh where V represents the volume, l represents the length, w represents the width, and h represents the height.
From the information given, we know that the width (w) is 6 and the length (l) is also 6. Additionally, the volume (V) is 306 cubic meters.
Plugging these values into the formula, we have:
306 = 6 * 6 * h
Simplifying this equation, we get:
306 = 36h
Now, divide both sides of the equation by 36:
306 / 36 = h
Computing this, we find:
h ≈ 8.5
Therefore, the height of the prism is approximately 8.5 meters.
No problem! To find the height of the rectangular prism, you can use the formula for volume: V = lwh. In this case, you are given the values for the width (w = 6) and length (l = 6), as well as the volume (V = 306).
To find the height, you need to rearrange the formula and solve for h. Here's how you do it:
1. Start with the volume formula: V = lwh.
2. Substitute the given values: 306 = 6 * 6 * h.
3. Multiply the known values: 36h = 306.
4. Isolate the variable by dividing both sides by 36: h = 306/36.
Now, let's solve for h:
306 divided by 36 equals 8.5.
Therefore, the height of the rectangular prism is 8.5 meters.
Just plug in the values ...
V = lwh
306 = (6)(6)(h)
h = 306/36 = 8.5
very easy