CBSE Class 8 Mental Maths Cube and Cube Roots Worksheet with Solution by Expert Mathematician. Students of 8th Grade can solve this worksheet for extra preparation before exam.Private Teacher or Guardians of the Students can copy all the questions of this chapter and will match after solve their students.
Cube and Cube Roots Class 8 Worksheet
1.) Find the cube root of 216
2.) Find the smallest number by which 243 must be multiplied to obtain a perfect cube.
3.) Find the smallest number by which 128 must be divided to obtain a perfect cube
4.) Find the cube root of 27000
5.) Simplify 3√16/54
6.) Find the cube root of 3√0.000729
7.) Each prime factors appear ____ times in a cube.
- What is the expansion of x^3
- The cube of an even number is always____
10.) The cube of an odd number is always_____
11.) Evaluate 3√64+3√729-3√0.008
12.) Find the unit digit of (234)^3
13.) What is the formula of volume of a cube?
14.) How to measure the diagonal of a cube
15.) The volume of a cube is 216cm^3. Find the side.
16.) The diagonal of a cube is 6√3cm. Find the volume.
17.) Find the cube root 512/5832
18.) Find 3√0.343
19.) Find the volume of a cube having side of 9cm
20.) 125b=b^4 then find b^2.
Also See: Squares and Square Roots Worksheet Class 8
21.) Evaluate 9^3 – 6^3
22.) What is x if 3^x=243
23.) What is the cube root of 0.001728
24.) (2/5)^3 × (-5/2)^3
25.) Find the value of 3√125×343
Answers:
1.) Prime factors of 216=2×2×2×3×3×3
So cube root=3×2=6
2.) Prime factors of 243= 3×3×3×3×3
So it must be multiplied by 3 to make it a perfect cube
3.) Factors of 128= 2×2×2×2×2×2×2
So 128 must be divided by 2 to make it a perfect cube
4.) 3√27000
=3√2×2×2×3×3×3×5×5×5
=2×3×5
=30
5.) 3√16/54
=3√(2×2×2×2)/(2×3×3×3)
=3√2^3/3^3
=2/3
6.) 3√0.000739
=3√729/1000000
=3√729/3√1000000
=3√9^3/3√100^3
=9/100
=0.09
7.) 3times
8.) X×X×X
9.) Even
10.) Odd
11.) 3√64+3√729-3√0.008
= 4+9-0.2
=12.8
12.) (234)^3
=Unit digit will be 4×4×4=64
Unit digit=4
13.) Volume =a^3
Where a=side of a cube
14.) Diagonal=√3a
15.) a^3=216cm^3
a=6cm
16.) Let the edge is a cm
So √3a=6√3
So a=6cm
Volume =6^3cm
=216cm^3
17.) 3√512/5832
=2×2×2×2×2×2×2×2×2/2×2×2×3×3×3×3×3×3
=4/27
18.) 3√343/1000
=7/10
=0.7
- 9^3
=729cm^3
- b^4=125b
=b^3=125
So b=5
Then b^2=25
21.) 729-216
=513
22.) 3^x=243
3^x=3^5
X=5
- 0.12
24.) 8/125 × (-125/8)
=-1
- 5×7=35