Calculate Base Area: Rectangular Prism with Volume 80 m³ and Height 4 m

Question

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?

V=80V=80V=80444

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Use the volume formula for the rectangular prism: V=Abase×h V = A_{\text{base}} \times h .
  • Rearrange the formula to solve for the base area: Abase=Vh A_{\text{base}} = \frac{V}{h} .
  • Substitute the given values into this rearranged formula.

Now, let's work through these steps:
Step 1: We know the volume V=80m3 V = 80 \, \text{m}^3 and the height h=4m h = 4 \, \text{m} .
Step 2: Using the formula Abase=Vh A_{\text{base}} = \frac{V}{h} , we substitute the given numbers:
Abase=804m2 A_{\text{base}} = \frac{80}{4} \, \text{m}^2 .
Step 3: Perform the division to find the area of the base:
Abase=20m2 A_{\text{base}} = 20 \, \text{m}^2 .

Therefore, the area of the base of the rectangular prism is 20m2 20 \, \text{m}^2 .

Answer

20