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For a right triangular pyramid with width = 16 inches, length = 13 inches, and height = 19 inches, what is the volume (rounded to two decimal places)?

a) 1234.00 in³
b) 1234.50 in³
c) 1235.00 in³
d) 1235.50 in³

User Zaaferani
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1 Answer

6 votes

Final answer:

The volume of a right triangular pyramid is calculated with the formula (1/3) x base area x height. However, based on the dimensions given, the shape seems to be a rectangular prism, and its volume would be length x width x height, resulting in a volume of 3,952 cubic inches.

Step-by-step explanation:

To calculate the volume of a right triangular pyramid, you would need to use the formula for the volume of a pyramid, which is V = (1/3) × base area × height. However, the dimensions provided seem to correspond to a rectangular prism rather than a triangular pyramid, considering a pyramid typically does not have a width and a length, but rather a base area. Assuming the student is referring to a rectangular prism (which is supported by the SEO keywords references provided), the volume would be found using the formula volume of stack = length × width × height. Thus, the volume would be calculated as follows:

V = 16 in × 13 in × 19 in

V = 3,952 in³

Since 3,952 is not one of the options provided and does not correspond to the options listed (a through d), there might be an error in the question or a misunderstanding regarding the shape described.

User Kristof Feys
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