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表面积・体积与相似立体挑战

A right circular cone has a volume of \( 4,800π \) cubic centimeters and the area of its base is \( 1,600π \) square centimeters. What is the slant height, in centimeters, of this cone?
原库参考解析
25年12月国际C卷练习 · 原库模块 2 · Q16作答 ↗
表面积・体积与相似立体挑战

Two identical rectangular prisms each have a height of 90 centimeters cm. The base of each prism is a square, and the surface area of each prism is K cm2. If the prisms are glued together along a square base, the resulting prism has a surface area of \( \frac{92}{47}K \)  cm2. What is the side length, in cm, of each square base?
原库参考解析
Area and volume · 原库模块 1 · Q10作答 ↗
表面积・体积与相似立体挑战

The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?
原库参考解析
Area and volume · 原库模块 1 · Q11作答 ↗
表面积・体积与相似立体挑战

The dimensions of a right rectangular prism are 4 inches by 5 inches by 6 inches. What is the surface area, in square inches, of the prism?
原库参考解析
Area and volume · 原库模块 1 · Q14作答 ↗
表面积・体积与相似立体挑战

A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?
原库参考解析
Area and volume · 原库模块 1 · Q17作答 ↗
表面积・体积与相似立体挑战

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 392 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
Area and volume · 原库模块 1 · Q2作答 ↗
表面积・体积与相似立体挑战

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?
原库参考解析
Area and volume · 原库模块 1 · Q3作答 ↗
表面积・体积与相似立体挑战

A cube has a volume of 474,552 cubic units. What is the surface area, in square units, of the cube?
原库参考解析
Area and volume · 原库模块 1 · Q4作答 ↗
表面积・体积与相似立体挑战

A right circular cone has a height of 22 centimeters cm and a base with a diameter of 6 cm. The volume of this cone is
nπ cm3. What is the value of n? 

原库参考解析
Area and volume · 原库模块 1 · Q5作答 ↗
表面积・体积与相似立体挑战

A manufacturer determined that right cylindrical containers with a height that is 4 inches longer than the radius offer the optimal number of containers to be displayed on a shelf. Which of the following expresses the volume, V, in cubic inches, of such containers, where r is the radius, in inches?
原库参考解析
Area and volume · 原库模块 1 · Q6作答 ↗
表面积・体积与相似立体挑战

A right rectangular prism has a length of 28 centimeters cm, a width of 15 cm, and a height of 16 cm. What is the surface area, in cm2, of the right rectangular prism?
原库参考解析
Area and volume · 原库模块 1 · Q8作答 ↗
表面积・体积与相似立体挑战

A right circular cone has a volume of \( \frac{1}{3}π \)  cubic feet and a height of 9 feet. What is the radius, in feet, of the base of the cone?
原库参考解析
Area and volume · 原库模块 1 · Q9作答 ↗