The correct option is D 91125(45)3 = (40 + 5)3 = (40)3 + 53 + 3 40 5 (40 + 5) = 64000 + 125 + 600(45) = 64125 + 27000 = 91125 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Expansion of (a ± b)³

Cube of 45 is

Question

Cube of 45 is

37125

No worries! We‘ve got your back. Try BYJU‘S free classes today!

37005

No worries! We‘ve got your back. Try BYJU‘S free classes today!

90005

No worries! We‘ve got your back. Try BYJU‘S free classes today!

91125

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
91125

(45)³ = (40 + 5)³= (40)³ + 5³ + 3 40 5 (40 + 5)

= 64000 + 125 + 600(45)

= 64125 + 27000 = 91125

Suggest Corrections

Similar questions

Q. Find the Cube Using Identity (i)

105

(ii)

27

(iii)

45

A cuboidal block of 6 cm $\times$ 9 cm $\times$ 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be:

Q. lf a line makes angles

60^{o}, 45^{o}, 45^{o}

and

θ

with the four diagonals of a cube, then

{sin}^{2} θ =

Q. Without actually calculating the cubes, find the value of

45^{3} - 25^{3} - 20^{3}

The dimensions of a metal block are $2.25 m$ by $1.5 m$ by $27 c m$ . It is melted and recast into cubes, each of side $45 c m$ . How many cubes are formed?

Join BYJU'S Learning Program