The area of the base of the rectangular prism below is 15 m².
The length of the lateral edge is equal to 3 m².
What is the volume of the rectangular prism?
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The area of the base of the rectangular prism below is 15 m².
The length of the lateral edge is equal to 3 m².
What is the volume of the rectangular prism?
To solve this problem, we'll follow these steps:
Let's work through each step:
Step 1: We know that the area of the base is 15 m², and the height is 3 m.
Step 2: We'll use the formula for the volume of a rectangular prism: .
Step 3: Plugging in the values, we have .
Calculating this gives us m³.
Therefore, the volume of the rectangular prism is .
45
A rectangular prism has a base measuring 5 units by 8 units.
The height of the prism is 12 units.
Calculate its volume.
A lateral edge is a vertical edge that connects the top and bottom faces. In this problem, it represents the height of the prism, which is 3 m.
Because you're already given the base area (15 m²)! The base area already includes length × width, so you just need to multiply by height.
Volume units are always cubic units. Since base area is m² and height is m, your volume will be m² × m = m³.
Then you'd first calculate base area by multiplying length × width, then multiply that result by the height to get volume.
Yes! Volume = Base Area × Height works for any prism, whether it's rectangular, triangular, or any other shape with parallel bases.
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