Advertisements
Advertisements
प्रश्न
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
Advertisements
उत्तर
Volume of cuboid = (length) × (width) × (height)
We have, 12ky2 + 8ky – 20k
= 4[3ky2 + 2ky – 5k]
= 4[k(3y2 + 2y – 5)]
= 4 × k × (3y2 + 2y – 5)
= 4k[3y2 – 3y + 5y – 5]
= 4k[3y(y – 1) + 5(y – 1)]
= 4k[(3y + 5) × (y – 1)]
= 4k × (3y + 5) × (y – 1)
Thus, the possible dimensions of the cuboid are 4k, (3y + 5) and (y – 1).
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
103 × 107
Evaluate the following using suitable identity:
(998)3
If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`
Find the cube of the following binomials expression :
\[4 - \frac{1}{3x}\]
If a + b = 6 and ab = 20, find the value of a3 − b3
If x = −2 and y = 1, by using an identity find the value of the following
If x = −2 and y = 1, by using an identity find the value of the following
Find the following product:
(4x − 3y + 2z) (16x2 + 9y2 + 4z2 + 12xy + 6yz − 8zx)
If a − b = 5 and ab = 12, find the value of a2 + b2
If \[x + \frac{1}{x} = 3\] then \[x^6 + \frac{1}{x^6}\] =
If a + b = 7 and ab = 10; find a - b.
If a2 - 5a - 1 = 0 and a ≠ 0 ; find:
- `a - 1/a`
- `a + 1/a`
- `a^2 - 1/a^2`
Evaluate: (4 − ab) (8 + ab)
Evaluate: (6 − 5xy) (6 + 5xy)
If p + q = 8 and p - q = 4, find:
pq
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
If a + b + c = 0, then a3 + b3 + c3 is equal to ______.
Without actually calculating the cubes, find the value of:
(0.2)3 – (0.3)3 + (0.1)3
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
