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表面积・体积与相似立体进阶

A right circular cylinder has a height of 4 meters (m) and a base with a radius of 18 m. What is the volume, in m3, of the cylinder?
原库参考解析
2023年6月A卷 · 原库模块 1 · Q13作答 ↗
表面积・体积与相似立体挑战

The volume of a right rectangular prism with a square base is 2448 cubic centimeters. If the area of the square base is 144 square centimeters, what is the area, in square centimeters, of one of the four lateral faces of the prism?
原库参考解析
2023年6月A卷 · 原库模块 2 · Q12作答 ↗
表面积・体积与相似立体进阶

A right circular cylinder has a height of 4 meters (m) and a base with a radius of 18 m. What is the volume, in m3,of the cylinder?
原库参考解析
2023年6月B卷 · 原库模块 1 · Q13作答 ↗
表面积・体积与相似立体挑战

The volume of a right rectangular prism with a square base is 2,448 cubic centimeters. If the area of the square base is 144 square centimeters, what is the area, in square centimeters, of one of the four lateral faces of the prism?
原库参考解析
2023年6月B卷 · 原库模块 2 · Q12作答 ↗
表面积・体积与相似立体进阶


题目图表
The right square pyramid shown has a height of 9 centimeters (cm). The length, in cm, of one edge of the pyramid's base is \( \frac{13}{3} \) times the height of the pyramid. What is the volume, in cm3, of the pyramid?
原库参考解析
2024年5月北美A卷 · 原库模块 1 · Q17作答 ↗
表面积・体积与相似立体挑战

A right square pyramid has a surface area of 75,264 square inches. which includes a base area of 36,864 square inches. What is the slant height, in inches. of this pyramid?
原库参考解析
2024年5月北美A卷 · 原库模块 2 · Q13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 1,075 feet above the ground, a firework's shell in the shape of a sphere with a volume of 514.23 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5月北美A卷 · 原库模块 2 · Q17作答 ↗
表面积・体积与相似立体挑战

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 52 square centimeters (cm2), and the surface area of right rectangular prism Y is 3,328 cm2. The volume of right rectangular prism X is 10.5 cubic centimeters (cm3). What is the volume, in cm3 , of right rectangular prism Y?
原库参考解析
2024年5月北美A卷 · 原库模块 2 · Q20作答 ↗
表面积・体积与相似立体进阶

题目图表
The figure shown is a right circular cylinder with a radius of r and height of h. A second right circular cylinder (not shown) has a volume that is 576 times as large as the volume of the cylinder shown. Which of the following could represent the radius R, in terms of r, and the height H, in terms of h, of the second cylinder?
原库参考解析
2024年8月北美B卷 · 原库模块 1 · Q19作答 ↗
表面积・体积与相似立体挑战

The length of each edge of a box is 79 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8月北美B卷 · 原库模块 2 · Q17作答 ↗
表面积・体积与相似立体进阶

A right rectangular prism has a length of 26 centimeters (cm), a width of 16 cm, and a height of 14 cm. What is the surface area, in cm², of the right rectangular prism?
原库参考解析
2024年8月北美D卷(易) · 原库模块 1 · Q4作答 ↗
表面积・体积与相似立体挑战

A right circular cylinder has a radius of 12 centimeters and a volume of 2,448π cubic centimeters. What is the height, in centimeters, of the cylinder?
原库参考解析
2024年8月北美D卷(易) · 原库模块 2 · Q7作答 ↗