What is the volume of a rectangular prism with a length of 15 yards, a width of 8 yards, and a height of 5 yards?
Answer (2)
Identify the length, width, and height of the rectangular prism.
State the formula for the volume of a rectangular prism: V o l u m e = L e n g t h × Wi d t h × He i g h t .
Substitute the given dimensions into the formula: V o l u m e = 15 yards × 8 yards × 5 yards .
Calculate the volume: 600 cubic yards .
Explanation
Identify Given Information We are given a rectangular prism with the following dimensions:
Length = 15 yards Width = 8 yards Height = 5 yards
We need to find the volume of this rectangular prism.
State the Volume Formula The volume of a rectangular prism is calculated using the formula:
V o l u m e = L e n g t h × Wi d t h × He i g h t
Substitute Values Now, we substitute the given values into the formula:
V o l u m e = 15 yards × 8 yards × 5 yards
Calculate the Volume Let's calculate the volume:
V o l u m e = 15 × 8 × 5 = 600 cubic yards
State the Final Answer Therefore, the volume of the rectangular prism is 600 cubic yards.
Examples
Understanding the volume of rectangular prisms is useful in many real-world scenarios. For example, when planning a garden, you might want to calculate the amount of soil needed to fill a raised garden bed. If the bed is shaped like a rectangular prism, you can use the volume formula to determine exactly how much soil to purchase. This ensures you have enough soil without overspending or wasting resources. Similarly, knowing how to calculate volume is essential in construction, shipping, and even in everyday tasks like packing boxes efficiently.
The volume of the rectangular prism is 600 cubic yards, calculated using the formula Volume = Length × Width × Height with the given dimensions of 15 yards, 8 yards, and 5 yards. The calculation involves substituting the dimensions into the formula and multiplying them. Thus, 15 × 8 × 5 = 600 cubic yards .
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