Question
A rectangular prism has a top face of 20 square feet and a height of 3 feet. What is the volume of this rectangular prism? 1 i\( ) \)\( \qquad \begin{array}{l}\text { Volume }=\square \mathrm{ft}^{3}\end{array} \)
Ask by Weber Howell. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The volume of the rectangular prism is 60 cubic feet.
Solution
To find the volume of a rectangular prism, we can use the formula:
\[
V = B \cdot h
\]
where:
- \( V \) is the volume,
- \( B \) is the area of the base (top face in this case),
- \( h \) is the height.
From the problem, we know:
- The area of the top face \( B = 20 \) square feet,
- The height \( h = 3 \) feet.
Now, we can substitute these values into the formula:
\[
V = 20 \, \text{ft}^2 \cdot 3 \, \text{ft}
\]
Calculating this gives:
\[
V = 60 \, \text{ft}^3
\]
Thus, the volume of the rectangular prism is:
\[
\text{Volume} = 60 \, \text{ft}^3
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To find the volume of a rectangular prism, you use the formula: Volume = Base Area × Height. In this case, the base area is 20 square feet and the height is 3 feet. So, you simply multiply: Volume = 20 ft² × 3 ft = 60 ft³. Therefore, the volume of the rectangular prism is 60 ft³. But fun fact: the rectangular prism is like a box, and its volume tells you how much "stuff" can fit inside! This simple formula can help with everything from packing for a move to figuring out how much soil you need for a garden bed. It's like having a magical box of knowledge!