The correct option is D 1141 The formula will be: a3 – b3 = (a b)3 + 3ab(a – b) Since, the difference between a and b is 1, we get: 20^3 nbsp; 19^3 = (2 ...

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Standard VII

Mathematics

Cube Numbers

What is 203-1...

Question

What is $20^{3}$ - $19^{3}$ ?

2197

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4913

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1141

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1331

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Solution

The correct option is C
1141

The formula will be:
a³– b³ = (a - b)³ + 3ab(a – b)

Since, the difference between a and b is 1, we get:
$20^{3}$ - $19^{3}$ = $(20 - 19)^{3} + 3 \times 20 \times 19 \times 1 (20 - 19) = 1141$

$20^{3}$ - $19^{3}$ = $1^{3} + 3 \times 20 \times 19 \times 1 = 1141$

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Similar questions

Q. Tick (✓) the correct answer
The sum of two numbers is

\frac{- 4}{3} .

If one of the numbers is −5, what is the other?
(a)

\frac{- 11}{3}

(b)

\frac{11}{3}

(c)

\frac{- 19}{3}

(d)

\frac{19}{3}

Q. What is the remainder when

(16^{3} + 17^{3} + 18^{3} + 19^{3})

is divided by 70?

Q. What is the missing Ramanujan number for the following:

10^{3} + 27^{3} = 19^{3} +__^{3}

What is the significant figure of ?:

1. 100

2. 20

3. 0.100

4. 0.200

148 = 2 (2 x + x) n

, then what is the value of

(3 n) 2 x

- 193

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What is 203 - 193?

The correct option is C 1141 The formula will be: a3 – b3 = (a - b)3 + 3ab(a – b) Since, the difference between a and b is 1, we get: 203 - 193 = (20−19)3+3×20×19×1(20−19)=1141 203 - 193 = 13+3×20×19×1=1141

What is $20^{3}$ - $19^{3}$ ?