2025年12月美国B卷 · 第 20 题

2025年12月美国B卷 · 原库模块 2 · Q20 原库参考解析

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 14 inches (in). The height of this tetrahedron is 15 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 in³. The volume of a trirectangular tetrahedron is equal to \( \frac{1}{3}Sh \), where S is the area of its base and h is its height.)