Advertisements
Advertisements
Question
Find the volume of the cube whose side is (x + 1) cm
Advertisements
Solution
Given side of the cube = (x + 1) cm
Volume of the cube = (side)3 cubic units = (x + 1)3 cm3
We have (a + b)3 = (a3 + 3a2b + 3ab2 + b3) cm3
(x + 1)3 = (x3 + 3x2(1) + 3x(1)2 + 13) cm3
Volume = (x3 + 3x2 + 3x + 1) cm3
APPEARS IN
RELATED QUESTIONS
Expand.
(7x + 8y)3
Find the cube of : `2a + 1/(2a)` ( a ≠ 0 )
If `x + (1)/x = 5`, find the value of `x^2 + (1)/x^2, x^3 + (1)/x^3` and `x^4 + (1)/x^4`.
If `9"a"^2 + (1)/(9"a"^2) = 23`; find the value of `27"a"^3 + (1)/(27"a"^3)`
If `x^2 + (1)/x^2 = 18`; find : `x^3 - (1)/x^3`
If 2a - 3b = 10 and ab = 16; find the value of 8a3 - 27b3.
Expand: `((2m)/n + n/(2m))^3`.
If `"a" + 1/"a"` = 6, then find the value of `"a"^3 + 1/"a"^3`
Expand (2a + 5)3
(p + q)(p2 – pq + q2) is equal to _____________
