立体几何-DS-OG：第1-5题 练习册详情

1

When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was $$\frac 3 7$$ of the tank's capacity. What was the tank's capacity?

(1)Before the 200 gallons were removed, the volume of oil in the tank was $$\frac1 2$$ of the tank's capacity.

(2)After the 200 gallons were removed, the volume of oil left in the tank was 1,600 gallons less than the tank's capacity.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

9973人做过此题 平均耗时为6min47s 平均正确率为 45%

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2

What is the maximum number of rectangular blocks, each with dimensions 12 centimeters by 6 centimeters by 4 centimeters, that will fit inside rectangular Box X ?

(1)When Box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer.

(2)The inside dimensions of Box X are 60 centimeters by 30 centimeters by 20 centimeters.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

8224人做过此题 平均耗时为32min31s 平均正确率为 60%

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3

What is the volume of a certain rectangular solid?

(1)Two adjacent faces of the solid have areas 15 and 24, respectively.

(2)Each of two opposite faces of the solid has area 40.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1552人做过此题 平均耗时为2min26s 平均正确率为 41%

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4

What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches.

(2) The exterior of each can is 6 inches high and has a diameter of 4 inches.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

9478人做过此题 平均耗时为21min11s 平均正确率为 69%

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5

A tank is filled with gasoline to a depth of exactly 2 feet. The tank is a cylinder resting horizontally on its side, with its circular ends oriented vertically. The inside of the tank is exactly 6 feet long. What is the volume of the gasoline in the tank?

(1) The inside of the tank is exactly 4 feet in diameter.

(2) The top surface of the gasoline forms a rectangle that has an area of 24 square feet.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

291人做过此题 平均耗时为5min21s 平均正确率为 59%

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