Asked by aaa
Find the volume of a pyramid with a square base, where the side length of the base is 13, point, 9, cm13.9 cm and the height of the pyramid is 6, point, 3, cm6.3 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answers
Answer
what's the answer
Answer
thats wrong make sure to round to nearest tenth
Answered by
GPT 3.5
To find the volume of a pyramid, we can use the formula:
\[V = \frac{1}{3}Bh\]
where $B$ represents the area of the base and $h$ represents the height of the pyramid.
In this case, the base is a square with side length 13.9 cm, so the area of the base $B$ is given by:
\[B = (13.9\, \text{cm})^2 = 192.1\, \text{cm}^2.\]
The height of the pyramid is 6.3 cm.
Plugging these values into the volume formula, we find:
\[V = \frac{1}{3}(192.1\, \text{cm}^2)(6.3\, \text{cm}) = 404.7\, \text{cm}^3.\]
Rounded to the nearest tenth, the volume of the pyramid is $\boxed{404.7\, \text{cm}^3}$.
\[V = \frac{1}{3}Bh\]
where $B$ represents the area of the base and $h$ represents the height of the pyramid.
In this case, the base is a square with side length 13.9 cm, so the area of the base $B$ is given by:
\[B = (13.9\, \text{cm})^2 = 192.1\, \text{cm}^2.\]
The height of the pyramid is 6.3 cm.
Plugging these values into the volume formula, we find:
\[V = \frac{1}{3}(192.1\, \text{cm}^2)(6.3\, \text{cm}) = 404.7\, \text{cm}^3.\]
Rounded to the nearest tenth, the volume of the pyramid is $\boxed{404.7\, \text{cm}^3}$.
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