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表面积・体积与相似立体挑战

A hemisphere is half of a sphere. If a hemisphere has a radius of 59 inches, which of the following is closest to the volume, in cubic inches, of this hemisphere?
原库参考解析
2024年10月北美A卷 · 原库模块 2 · Q5作答 ↗
表面积・体积与相似立体挑战

As the size of a firework's shell increases, the height above the ground when the firework bursts increases. For a firework to burst l,075 feet above the ground, a firework's shell in the shape of a sphere with a volume of 542.68 cubic inches could be used. To the nearest whole number, what is the volume of this firework's shell in cubic centimeters? (1 inch = 2.54 centimeters)
原库参考解析
2024年11月北美A卷 · 原库模块 2 · Q16作答 ↗
表面积・体积与相似立体挑战

A right rectangular prism has a base area of 16t square centimeters (cm²). The length of the base of the rectangular prism is \( \frac{8}{3} \) cm, and the height of the rectangular prism is 9 cm. Which expression represents the surface area, in cm², of the right rectangular prism?
原库参考解析
2024年11月北美A卷 · 原库模块 2 · Q21作答 ↗
表面积・体积与相似立体挑战

The circumference of the base of a right circular cylinder is 6π meters, and the height of the cylinder is 19 meters. What is the volume, in cubic meters, of the cylinder?
原库参考解析
2024年12月北美A卷 · 原库模块 2 · Q10作答 ↗
表面积・体积与相似立体挑战

To study fluctuations in leaf water potential, samples of wood were taken from 25 trees and cut in the shape of a cube. The length of the edge of one of these cubes is 3.000 centimeters. This cube has a density of 0.210 grams per cubic centimeter. What is the mass of this cube, in grams?
原库参考解析
2024年10月A卷 · 原库模块 2 · Q10作答 ↗
表面积・体积与相似立体挑战

A right triangular pyramid has exactly six edges. Each of these edges is 74 centimeters long. If the surface area of the pyramid is \( k\sqrt{3} \) square centimeters, what is the value of k?
原库参考解析
2024年10月A卷 · 原库模块 2 · Q18作答 ↗
表面积・体积与相似立体进阶

The edge length, in inches, of cube Y is \( \frac{3}{64} \)  the edge length, in inches, of cube X . The surface area, in square inches, of cube Y is n times the surface area, in square inches, of cube X . What is the value of n ?
原库参考解析
2024年10月B卷 · 原库模块 1 · Q22作答 ↗
表面积・体积与相似立体挑战

A hemisphere is half of a sphere. If a hemisphere has a radius of 83 inches, which of the following is closest to the volume, in cubic inches, of this hemisphere?
原库参考解析
2024年10月B卷 · 原库模块 2 · Q8作答 ↗
表面积・体积与相似立体挑战

A right square pyramid has a total surface area of 28,160 square inches, and the combined surface area of the four lateral faces of this pyramid is 16,060 square inches. What is the height, in inches, of this pyramid?
原库参考解析
2024年11月A卷 · 原库模块 2 · Q21作答 ↗
表面积・体积与相似立体挑战

A right square pyramid has a height of 11 centimeters (cm). A second right square pyramid has a height of 22 centimeters. The area of the bases of each of the two pyramids is 100 cm². Which of the following is closest to the difference in the surface area of the second pyramid and the surface area of the first pyramid, in cm²?
原库参考解析
2024年11月B卷(易) · 原库模块 2 · Q19作答 ↗
表面积・体积与相似立体挑战

The length of each edge of a box is 48 centimeters. Each side of the box is in the shape of a square. The box does not have a lid. What is the exterior surface area, in square meters, of this box without a lid? (1 meter = 100 centimeters)
原库参考解析
2024年11月C卷练习 · 原库模块 2 · Q16作答 ↗
表面积・体积与相似立体进阶

A right circular cone has a height of 13 centimeters (cm) and a base with a radius of 6 cm. What is the volume, in cm³, of this cone?
原库参考解析
2024年12月A卷 · 原库模块 1 · Q15作答 ↗