5272道题目5525 条题源记录 · 相同内容已合并
表面积・体积与相似立体挑战
A right circular cone has a base diameter of 28 inches and a height of 6 inches. The volume of this cone is \( kπ \) cubic inches. What is the value of k?
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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 56 square centimeters (cm²), and the surface area of right rectangular prism Y is 896 cm². The volume of right rectangular prism Y is 1,536 cubic centimeters (cm³). What is the sum of the volumes, in cm³, of right rectangular prism X and right rectangular prism Y?
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表面积・体积与相似立体挑战
The figure shown is a right rectangular pyramid, where \( l=18 \) units, \( w=9 \) units, and \( h=12 \) units. What is the surface area, in square units, of the pyramid?
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表面积・体积与相似立体挑战
A right rectangular prism has a base area of 56t square centimeters (cm²). The length of the base of the rectangular prism is \( \frac{14}{3} \) cm, and the height of the rectangular prism is 3 cm. Which expression represents the surface area, in cm², of the right rectangular prism?
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表面积・体积与相似立体进阶
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?
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表面积・体积与相似立体挑战
A right square pyramid has a total surface area of 70,560 square inches, and the combined surface area of the four lateral faces of this pyramid is 38,160 square inches. What is the height, in inches, of this pyramid?
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表面积・体积与相似立体挑战
A sphere has a radius of 3 inches and a density of 51 ounces per cubic inch. What is the mass, in ounces, of the sphere?
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表面积・体积与相似立体进阶
A cube has an edge length of 13 inches. What is its volume in cubic inches?
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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 \( 96 \) centimeters long. If the surface area of the pyramid is \( k\sqrt{3} \) square centimeters, what is the value of \( k \)?
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表面积・体积与相似立体挑战
A conservation specialist hung artificial nesting structures each in the shape of a right rectangular prism for a species of native owl. Each structure has a height of 11 inches. The length of each structure’s base is x inches, which is 1 inch more than the width of the structure’s base. Which function V gives the volume of each structure, in cubic inches, in terms of the length of the structure’s base?
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表面积・体积与相似立体挑战
A triangular prism has a height of 9 centimeters (cm) and a volume of 234 cm³. What is the area, in cm², of the base of the prism? (The volume of a triangular prism is equal to Bh, where B is the area of the base and h is the height of the prism.)
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表面积・体积与相似立体进阶
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 86 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?
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