Cubes And Cube ...

Find the value of 57³ - 57² - 27³.

If , then find the value of x.

If , then find the value of x.

How many Rubik's cubes of side 7 cm can be stored in a cubical box of side 21 cm?

What is the smallest number that can be multiplied by 5400 to make it a perfect cube?

If the cube root of 512 is subtracted from the square root of 961, then what will be the result?

Solve the following equation for the value of x:

Three numbers are in the ratio 2 : 3 : 5. The sum of their cubes is 10240. The numbers are

The cube of a two-digit number contains

The cube of an even natural number is always ___________.

If each side of a cubical gift box is 4.5 cm, then the volume of the box is ___________ m³.

The units digit of the cube root of 21952 is

The volume of a cubical box of side d is twenty-five times d. Find the value of d, such that d ≠ 0 and d ≠ - 5.

Two Rubik's cubes have their volumes in the ratio of 64 : 729. Find the ratio of the area of each face of the first cube to area of each face of the second cube.

Find the smallest number by which 192 must be divided to obtain a perfect cube.

The difference between the squares of two numbers is 275. If the square root of the smaller of the two numbers is 5, then find the cube of the larger number.

Naveen has a square piece of land, having an area of 529 square yards. Knowing naveen is an expert in dealing with cubes, his friend, Hitesh, challenged him to tell the cube of the length of his square yard. What did naveen answer?

Rahul wants to fit the cuboids of dimensions 2 units 3 units 5 units in a cube. The minimum number of cuboids that he can fit into the cube is

A rectangular metallic cuboid, with dimensions 14 m × 10 m × 5 m, is melted, and some other molten alloy is added to it. This mixture is then cooled down and turned into a solid cube, having integral sides. What is the minimum amount of metal that is added and what is the side of this cube?

The people of Belgam village decide to store rainwater for irrigation purpose. They construct a cuboidal tank of length 24 m and breadth 13 m, with a total capacity of 13,416 m³. Find the height of the tank.

Which of the following statements is INCORRECT?

A. Three numbers are in the ratio 2 : 1 : 3 and the sum of their cubes is 972. The numbers are 4, 7 and 11.
B. The digit at the units place of the cube root of a three-digit number of the form xy8 is 2.
C. The smallest number by which 1800 should be divided to make it a perfect cube is 225.

Find the cube roots of the following:

(i) 0.000027 = _______
(ii) 1.520875 = _______
(iii) 3.511808 = _________
(iv) 49.027896 = ________

Match the following:

Evaluate .

Read the statements given below carefully:

(1) Cube root of 175.616 is a rational number.
(2) Cube of an even number is always odd.

Which of the two statements is/are correct?

(A) Only statement (1)
(B) Only statement (2)
(C) Both statements (1) and (2)
(D) Neither statement (1) nor statement (2)