Cubes and Cube Roots Quiz

If P = 999 then, find the value of the following expression:

1. 1000
2. 999
3. 100
4. 333

Answer: (a) 1000

Find the value of the given expression:

1. 25a
2. 25a2
3. 120a2
4. 120a

Answer: (c) 120a2

Match the following columns:

1. A - p, B - q, C - r
2. A - p, B - r, C - q
3. A - r, B - q, C - p
4. A - q, B - r, C - p

Answer: (b) A - p, B - r, C - q

In the question given below, there are two statements marked as Assertion (A) and Reason (R). Choose your options as per the codes provided below: Assertion: We know that 9 ÷ 3 = 3 and 93 ÷ 33 = 27 8 ÷ 2 = 4 and 83 ÷ 23 = 64 Reason : If a divides b, then a3 divides b3.

1. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3. Assertion (A) is true but reason (R) is false.
4. Assertion (A) is false but reason (R) is true.

Answer: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

A number 700 when divided by a divisor, leaves a remainder of 25. The quotient obtained is the square of a specific number, and the divisor is one-fifth of this specific number.What is the specific number?

1. 12
2. 11
3. 25
4. 15

Answer: (d) 15

Find how many three-digit perfect cubes are there, whose sum of the digits is a perfect square .

1. 4
2. 3
3. 2
4. 1

Answer: (d) 1

Read the passage carefully and answer the following question: A company produces a certain type of cube-shaped storage containers. Each container has a volume that is a perfect cube and is measured in cubic metres. The company finds that the volume of each container, when divided by the cube root of the volume, results in 256 m3. Additionally, the new volume would be 343 times the original cube root of the original volume. What is the new volume of the storage container after it is increased to 343 times the cube root of the original volume?

1. 5488 m3
2. 5480 m3
3. 5466 m3
4. 6040 m3

Answer: (a) 5488 m3

Read the passage and answer the following question: A company produces a certain type of cube-shaped storage containers. Each container has a volume that is a perfect cube and is measured in cubic metres. The company finds that the volume of each container, when divided by the cube root of the volume, results in 256 cubic meters. Additionally, the new volume would be 343 times the original cube root of the original volume. What is the ratio of the new volume to the cube root of original volume of the storage container?

1. 343 : 256
2. 256 : 343
3. 343 : 1
4. 1 : 343

Answer: (c) 343 : 1

Read the passage and answer the following question: John needs to create a physics project in the shape of a cube for a social work campaign, but currently, he has a cuboidal box with dimensions of 9 cm, 3 cm, and 27 cm. To complete his project, he needs to transform the cuboid into a cube. In order to do this, he requires additional cuboidal boxes to construct the cube for his project. What is the volume of the cuboidal box John currently has?

1. 343 cm3
2. 729 cm3
3. 216 cm3
4. 719 cm3

Answer: (b) 729 cm3

Read the passage and answer the following questions: John needs to create a physics project in the shape of a cube for a social work campaign, but currently, he has a cuboidal box with dimensions of 9 cm, 3 cm, and 27 cm. To complete his project, he needs to transform the cuboid into a cube. In order to do this, he requires additional cuboidal boxes to construct the cube for his project. What is the percentage of cube volume over the sum of cube and cuboid volumes?

1. 55%
2. 25%,
3. 100%
4. 50%

Answer: (d) 50%