Cubes And Cube ...

What is the unit digit of (23173)³ + (743129)³?

If ÷ = x, then the value of x is

If 343z⁴ = z⁷, the value of z is

How many cubes of side 3 cm each can be packed in a cubical box with inner side of 6 cm?

A teacher wrote a perfect cube number on the board. A student copied it on his notebook and by mistake he forgot to copy 2 digits and wrote the number as 140AB8. The teacher asked to find the sum of digits of the cube root of the number. What was the sum?

The cube root of 753571 is of the form A B, where A and B are prime numbers. What are the values of A and B?

A perfect cube number is given as 10AB8. What are the respective values of A and B?

Three numbers are in the ratio 2 : 5 : 6. The sum of their cubes is 9423. The numbers are

The cube of a three-digit number will contain

The cube of an even natural number is always

The length of each side of a cube is 4.6 cm. Its volume is

What is the smallest number by which 3087 must be divided so that the quotient obtained is a perfect cube?

The cube root of a number 'x' is 5 more than the 4^th multiple of 5. What is the cube root of a number 'y' such that 'y' is 8764 more than 'x'?

Two cubes have volume in the ratio 8 : 64. The ratio of their surface areas is

What will you get when the cube root of 19,683 is added to the square root of 324 and the resultant is divided by the cube root of 729?

Akul gave a Mathematical problem to Yamini;
The difference of two perfect cubes is 387. If the cube root of the greater of the two numbers is 8, find the cube root of the smallernumber.

Help Yamini to find the answer.

A blacksmith has to make 13 smaller cubes each of side 6 cm after melting the larger cuboidal box of dimensions 12 cm × 13 cm × 21 cm. What will be the volume of the left over material after making new cubes?

A cubical box of volume 135 cm³ is cut into 5 smaller cubical boxes. What is the length of the side of each smaller cubical box formed?

A cubical fish tank is used to keep fishes at an aquarium. The capacity of the fish tank is 46,656 m³. Find the depth of fish tank.

If the side of a cube is 7 cm, what is its volume in mm³?

Which of the following statements is INCORRECT?

(a) A cube shaped container whose volume is 1,32,651 m³ has a side of 51 m.
(b) The smallest number by which 392 must be multiplied to make it a perfect cube is 7.
(c) The difference between the sum of cubes of two consecutive numbers and cube of 5 is 37. The numbers are 3 and 4.

Find the cube roots of:

(i) A = 0.004096
(ii) B = 12.167
(iii) C = 19.683
(iv) D = 29.791

Match the following:

Evaluate the following :

(i)

(ii)

(iii)

Which of the following statement(s) is/are CORRECT?

Statement - 1: Cube root of 6,81,472 is an irrational number.
Statement - 2: Cube of an odd number may or may not be an odd number.