The volume of the rectangular prism below is 80 m³.
The length of the lateral edge is 4 m.
What is the area of the base?
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The volume of the rectangular prism below is 80 m³.
The length of the lateral edge is 4 m.
What is the area of the base?
To solve this problem, we'll follow these steps:
Now, let's work through these steps:
Step 1: We know the volume  and the height .
Step 2: Using the formula , we substitute the given numbers: 
.
Step 3: Perform the division to find the area of the base: 
.
Therefore, the area of the base of the rectangular prism is .
20
A rectangular prism has a base measuring 5 units by 8 units.
The height of the prism is 12 units.
Calculate its volume.
The base area is the area of the bottom face (or top face - they're identical). For a rectangular prism, it's length × width, but you don't need to find these individual dimensions!
Because the problem asks for total base area, not individual dimensions. The formula gives you the area directly without needing length and width.
The lateral edge is a vertical edge connecting the top and bottom faces. In this case, it's the height of the prism, which is 4 m.
Think about it: if the base area is 20 m² and height is 4 m, then 20 × 4 = 80 m³, which matches the given volume perfectly!
Yes! If the height is less than 1 meter, the base area will be numerically larger than the volume. For example: V = 10 m³, h = 0.5 m gives base area = 20 m².
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