Using the identity (a+1)² = a² + 2a + 1, 126² = 125² + 2×125 + 1 = 15625 + 250 + 1 = 15625 + 251. So, the correct option is (iv) 15625 + 251. Class 8 NCERT Ganita Prakash ...
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Yes. The number of unit cubes in a cube with edge length 4 units is 4 × 4 × 4 = 64. So, the cube contains 64 unit cubes arranged in 4 layers, each having 16 cubes (4 × 4). Class ...
No, 9 is not a cube. The cube of 2 is 8 and the cube of 3 is 27. Since 9 doesn’t fall between these two cubes as a result of cubing a whole number, 9 isn’t a cube. Class 8 ...
A cube of side 3 cm has a volume of 3 × 3 × 3 = 27 cm³. Each small cube has volume 1 cm³. So, we need 27 unit cubes to make a cube of side 3 cm. Class 8 ...
The number of tiny squares is 144. Prime factorisation of 144 is 2⁴ × 3². This is a perfect square since all exponents are even. So, the number of squares is 12 × 12 and √144 = 12. Class 8 Mathematics ...