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Math·Geometry and Trigonometry·Area and volume
medium
Note: Figure not drawn to scale.
The figure shown is a trirectangular tetrahedron, a three-dimensional figure with four triangular faces, three of which are right triangles. A chemistry professor uses trirectangular tetrahedrons to create large scale models of various carbon-based molecules. The base of one of these tetrahedrons is an isosceles right triangle whose legs each have length 16 inches (in). The height of this tetrahedron is 9 in. Which of the following is closest to the volume of this tetrahedron, in pints? (Note: 1 pint = 0.5 quarts; use 1 quart = 57.75 . The volume of a trirectangular tetrahedron is equal to , where is the area of its base and is its height.)
A
11,088.00
B
384.00
C
79.79
D
13.30