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表面积・体积与相似立体进阶
题目图表
The figure shown is a right rectangular pyramid, where \( ℓ=16 \) units, \( w=8 \) units, and \( h=18 \) units. What is the surface area, in square units, of the pyramid?
参考答案
26年8月国际C卷练习 · 原库模块 1 · Q15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 50 square centimeters (cm²), and the surface area of right rectangular prism Y is 1,250 cm². The volume of right rectangular prism X is 14.4 cubic centimeters (cm³). What is the volume, in cm³, of right rectangular prism Y?
参考答案
26年8月国际C卷练习 · 原库模块 2 · Q9作答 ↗
表面积・体积与相似立体进阶
题目图表
In the figure, a hollow steel pipe is in the shape of a right circular cylinder. The steel pipe has an outside diameter of 72 inches, a wall thickness of \( \frac{5}{8} \) inches, and a height of 138 inches. Which of the following is closest to the volume, in cubic inches, of the wall of this steel pipe?
参考答案
26年8月国际D卷练习 · 原库模块 1 · Q9作答 ↗
表面积・体积与相似立体挑战
Right circular cylinder A is similar to right circular cylinder B, where the ratio of the diameter of cylinder A to the diameter of cylinder B is 2 to 3. The height of cylinder A is equal to its diameter. If the surface area of cylinder A is 600π square inches, what is the volume, in cubic inches, of cylinder B?
参考答案
2026年9月国际A卷 · 原库模块 2 · Q16作答 ↗
表面积・体积与相似立体进阶
The height of a right circular cylinder is 59 inches, and the circumference of its base is 590 inches. Which expression represents the total surface area, in square inches, of the cylinder?
参考答案
2026年9月国际B卷 · 原库模块 1 · Q8作答 ↗
表面积・体积与相似立体进阶
题目图表
For the right circular cone shown, B is a point on the circumference of the base, and the length of segment AB (not shown) is 88 centimeters. If the height of the cone is 43 centimeters and the volume of the cone is \( kπ \)cubic centimeters, what is the value of k?
参考答案
2026年9月国际C卷练习 · 原库模块 1 · Q20作答 ↗
表面积・体积与相似立体挑战
A right square pyramid has a height of 12 centimeters (cm). A second right square pyramid has a height of 24 centimeters. The area of the bases of each of the two pyramids is 81 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?
参考答案
2026年9月美国A卷 · 原库模块 3 · Q20作答 ↗
表面积・体积与相似立体进阶

A cube has an edge length of 6 inches. What is the volume, in cubic inches, of the cube?
原库参考解析
25年10月国际C卷练习 · 原库模块 1 · Q19作答 ↗
表面积・体积与相似立体进阶

题目图表
The figure shown is a right rectangular pyramid, where \( l=16 \) units, \( w=8 \) units, and \( h=18 \) units. What is the surface area, in square units, of the pyramid?
原库参考解析
25年10月国际C卷练习 · 原库模块 1 · Q22作答 ↗
表面积・体积与相似立体挑战

题目图表
In the figure, a hollow steel pipe is in the shape of a right circular cylinder. The steel pipe has an outside diameter of 76 inches, a wall thickness of \( \frac{5}{8} \)inches, and a height of 135 inches. Which of the following is closest to the volume, in cubic inches, of the wall of this steel pipe?
原库参考解析
25年10月国际C卷练习 · 原库模块 2 · Q22作答 ↗
表面积・体积与相似立体挑战

A right square pyramid has a height of 12 inches and a volume of 196 cubic inches. What is the perimeter, in inches, of the base of this pyramid?
原库参考解析
25年10月国际C卷练习 · 原库模块 2 · Q7作答 ↗
表面积・体积与相似立体进阶

A right rectangular prism has a height of 24 inches. The length of the prism's base is x inches, which is 10 inches more than the width of the prism's base. Which function V gives the volume of the prism, in cubic inches, in terms of the length of the prism's base?
原库参考解析
25年12月国际C卷练习 · 原库模块 1 · Q21作答 ↗