Question
A rectangular prism has a volume of 840 cubic inches. The height of the prism is 6 inches and the width is 10 inches. Find the length of the prism. (1 point) 16 in 13 in 840 in 14 in
Ask by Welch Simmons.
Mar 14,2025 19:21
UpStudy AI Solution
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Answer
The length of the prism is 14 inches.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To find the length of the rectangular prism, you can use the formula for the volume of a rectangular prism, which is Volume = Length × Width × Height. Given that the volume is 840 cubic inches, the width is 10 inches, and the height is 6 inches, you can rearrange the formula to solve for the length:
Length = Volume / (Width × Height) = 840 / (10 × 6) = 840 / 60 = 14 inches.
So, the length of the prism is 14 inches!
Another interesting tidbit: Rectangular prisms can be found everywhere in our daily lives! Consider a box of cereal, a brick, or even a shoebox. Understanding how to calculate the dimensions of these objects can help in organizing and stacking them efficiently—maximizing space in your kitchen or storage area!
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