QQuestionMathematics
QuestionMathematics
What is the volume of the rectangular pyramid shown below?
45 cubic in.
252 cubic in.
84 cubic in.
168 cubic in.
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Answer
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Step 1:I'll solve this step by step using the volume formula for a rectangular pyramid and the given dimensions.
Step 2:: Recall the Volume Formula for a Rectangular Pyramid
V = \frac{1}{3} \times \text{base area} \times \text{height}
The volume of a rectangular pyramid is given by the formula:
Step 3:: Identify the Dimensions
From the image, I can see: - Base length = 6 in - Base width = 4 in - Pyramid height = 7 in
Step 4:: Calculate Base Area
\text{Base Area} = 6 \times 4 = 24 \text{ square inches}
Step 5:: Calculate Volume
V = 168 \text{ cubic inches}
V = \frac{1}{3} \times 168
Step 6:: Verify the Answer Choices
Checking the given options, 168 cubic in is the correct answer.
Final Answer
168 \text{ cubic inches}
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