CBSE Class 8 Mathematics Cubes And Cube Roots Worksheet Set C

Question. If 72K is a perfect cube, find the value of K.
(A) 1
(B) 2
(C) 3
(D) 4
Answer : C

Question. Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.
(A) 4
(B) 12
(C) 16
(D) 32
Answer : A

Question. Find the number which is not a perfect cube among the following.
(A) 1331
(B) 216
(C) 243
(D) 512
Answer : C

Question. What is the smallest number by which 2560 must be multiplied so that the product is a perfect cube?
(A) 5
(B) 25
(C) 10
(D) 15
Answer : B

Question. Which of the following is the cube of an even natural number ?
(A) 729
(C) 1331
(B) 3375
(D) 13824
Answer : D

Question. The product 864 X n is a perfect cube.
What is the smallest possible value of 'n'?
(A) 2
(B) 1
(C) 4
(D) 3
Answer : A

Question. Find the value of 3√343 x 3√-64 .
(A) 28
(B) -28
(C) 18
(D) - 18
Answer : B

Question. The length of each side of a cubical box is 2.4 m. What is its volume ?
(A) 13.824 cu m
(B) 13.824 cu cm
(C) 13.824 m²
(D) 13.824 cm²
Answer : A

Question. The cube of a number is 8 times the cube of another number. If the sum of the cubes of numbers is 243, what is difference of the numbers ?
(A) 3
(B) 4
(C) 6
(D) - 6
Answer : A

Question. If ·a: 'b; 'c' and 'd' are consecutive natural numbers and a³ = b³ + c³ + d³, what is the least value of 'a'?
(A) 6
(B) 9
(C) 3
(D) 12
Answer : A

Question. Find the units place in the cube of 126.
(A) 4
(B) 6
(C) 8
(D) 1
Answer : B

Question. The difference of the cube and the square of a natural number is 48.Find the number.
(A) 6
(B) 5
(C) 4
(D) 8
Answer : C

Question. What is the cube root of 1.331 ?
(A) 0.11
(C) 11
(B) O.Q11
(D) 1.1
Answer : D

Question. The cube root of a number when divided by 7 results in 49. Identify the number.
(A) 343³
(B) 33³
(C) 43³
(D) 343⁷
Answer : A

Question. A water tank holds 79507 cm 3 of water.
What is the measure of its edge ?
(A) 23 cm
(B) 33 cm
(C) 43 cm
(D) 38 cm
Answer : C

Question. A cubic wooden block has an edge of 0.21 m. What is its volume ?
(A) 9261 cm³
(C) 92.61 cm³
(B) 926.1 m³
(D) 92.61 m³
Answer : A

Question. A wooden cuboid is 24 em by 30 em by 36 em. 8 cubes of equa I sides are cut off from the 8 corners of the cuboid. The volume of the remaining block is 20088 cm³. What is the length of the edge of each cube ?
(A) 6 cm
(B) 9 cm
(C) 1 cm
(D) 7 cm
Answer : B

Please refer to attached file for CBSE Class 8 Mathematics Worksheet - Cuberoots