Volume of a cuboid is 1176cm3, its length and breadth are 12cm and 7cm respectively. What is the height of the cuboid?

The question below is followed by three statements I, II and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. What is the ratio of the volume of the cube to the volume of the cuboid? Statement I: The Total Surface Area of the cuboid is 550 cm2 and the ratio of the length, breadth and height of the cuboid is 2 : 3 : 1. Statement II: The Total Surface Area of the cube is 384 cm2. Statement III: The breadth of the cuboid is 1.5 times of the length of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 5 cm.

A

Statement II and III are sufficient to answer the question.

B

Statement I and II are sufficient to answer the question.

C

Either statement I or III and statement II are sufficient to answer the question.

D

Either statement II or III and statement I are sufficient to answer the question.

E

All the statements are required to answer the question.

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the ratio of the volume of the cube to the volume of the cuboid? I. The Total Surface Area of the cuboid is 352 cm2 and the ratio of the length, breadth and height of the cuboid is 3 : 2 : 1. II. The Total Surface Area of the cube is 726 cm2. III. The length of the cuboid is 1.5 times of the breadth of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 8 cm.

A

Any two of the statements

B

All the statements

C

II and III together

D

I and II together

E

Either statement I and II or statement II and III

What is the ratio of the volume of a cuboid to the volume of a cube? Statement I. The ratio of the height, breadth, and length of the cuboid is 1 : 2 : 3 and the total surface area of the cuboid is 352 cm2. Statement II. The total surface area of the cube is given to be 384 cm2. Statement III. The length of the cuboid is 3 times the height of the cuboid and 1.5 times the breadth of the cuboid. The difference between the length and the height of the cuboid is 8 cm.

A

The data in statement I alone is sufficient to answer the question, while the data in statement II and III alone are not sufficient to answer the question.

B

The data in statement II alone is sufficient to answer the question, while the data in statement I and III alone are not sufficient to answer the question.

C

The data in statement I and II or in statement II and III is sufficient to answer the question.

D

The data in all the statements I, II, and III are not sufficient to answer the question.

E

The data in all statements I, II, and III together are necessary to answer the question.

Which of the following statements is/are true? A: If the length of a cuboid is ‘x’ and its breadth and height are respectively (1/2) and (1/3) of its length, then the ratio of its surface is and its volume will be 12: x. B: If main diagonal of a cube becomes half, then the side of cube will also become half. C: If breadth of a cuboid is half of its length and it is cut into two equal pieces along the axes perpendicular to its length, then the 2 pieces formed will be cubes.

A

All A, B and C

B

Only A

C

Only A and B

D

Only A and C

The length and breadth of a cuboid is increased by 25% and 50% respectively while height is decreased by 20% and the side of a cube is decreased by 33.33%, then find the ratio of new volume of cuboid to the new volume of cube where the ratio of length, breadth, height of cuboid and side of cube is 2 : 1 : 1 : 3.

A

3 : 8

B

9 : 8

C

5 : 8

D

7 : 8

What is the total surface area of the cuboid? Statement I: The volume of the cuboid is 5184 cm3 and the ratio of the length, breadth and height of the cuboid is 3 : 4 : 2. Statement II: Total surface area of the upper and lower faces of the cuboid is 864 cm2 and the height of the cuboid is 12 cm.

A

Statement II alone is sufficient to answer the question.

B

Either statement I or statement II alone is sufficient to answer the question.

C

Statement I alone is sufficient to answer the question.

D

Statements I and II together are required to answer the question.

E

Both Statements I and II together are not sufficient to answer the question.

A solid cube is cut out from a solid cuboid of length, breadth are in the ratio 3 : 2 and the height of cuboid is 3 less than the breadth. If the area of four walls of cuboid is 200 cm2 then find the total surface area of the resultant solid where side length of cube is 60% of the height of the solid cuboid.

A

428 cm²

B

328 cm²

C

420 cm²

D

378 cm²

The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200% respectively. Then the increase in the volume of the cuboid is :

A

5 Times

B

6 Times

C

12 Times

D

17 Times

The length of a cuboid is twice its breadth and its height is half of its breadth. If the height of the cuboid is 2 cm, then what is the edge of a cube having the same volume as that of the cuboid?

A

6.4 cm

B

8 cm

C

4 cm

D

7.2 cm

The height of a cuboid is 4 cm less than its breadth and the length is 6 cm more than its breadth. If the length of the cuboid is 20 cm. What will be the volume of the cuboid?

A

5040 cm³

B

2800 cm³

C

2200 cm³

D

3200 cm³

Volume of a cuboid is 1176cm3, its length and breadth are 12cm and 7cm respectively. What is the height of the cuboid?

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