Question
What is the volume, in cubic centimeters, of a rectangular prism with a height of 11 centimeters, a width of 8 centimeters, and a length of 6 centimeters?
Ask by Ford Ellis. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The volume of the rectangular prism is 528 cubic centimeters.
Solution
**Step 1:** Write the formula for the volume of a rectangular prism:
\( V = l \times w \times h \)
**Step 2:** Substitute the given values for length \( l = 6 \) cm, width \( w = 8 \) cm, and height \( h = 11 \) cm:
\( V = 6 \times 8 \times 11 \)
**Step 3:** Multiply the numbers step by step:
First, calculate \( 6 \times 8 = 48 \).
**Step 4:** Then multiply \( 48 \times 11 = 528 \).
**Final Answer:** The volume of the rectangular prism is \(528\) cubic centimeters.
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Simplify this solution The Deep Dive
To find the volume of a rectangular prism, you multiply the height, width, and length together. In this case, you would calculate it as follows: Volume = Height × Width × Length = 11 cm × 8 cm × 6 cm. Doing the math, the volume is 528 cubic centimeters! This formula is the go-to for not only mathematical problems but also in real-world contexts, like packing boxes or constructing furniture. Understanding how to calculate volume can help you figure out how much space you really have to work with, whether you're packing for a move or designing a new shelf!
