Advertisements
Advertisements
Question
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 3x2 – 12x |
Advertisements
Solution
Volume of cuboid = Length × Breadth × Height
The expression given for the volume of the cuboid has to be factorised. One of its factors will be its length, one will be its breadth, and one will be its height.
3x2 – 12x = 3(x2 – 4x) = 3 × x × (x – 4)
Possible expression for length = 3
Possible expression for breadth = x
Possible expression for height = (x – 4)
APPEARS IN
RELATED QUESTIONS
Factorise the following using appropriate identity:
4y2 – 4y + 1
Expand the following, using suitable identity:
(3a – 7b – c)2
If x + y + z = 0, show that x3 + y3 + z3 = 3xyz.
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]
If a + b = 8 and ab = 6, find the value of a3 + b3
If a − b = 5 and ab = 12, find the value of a2 + b2
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
(a − b)3 + (b − c)3 + (c − a)3 =
Evaluate: 203 × 197
If a - b = 10 and ab = 11; find a + b.
If m - n = 0.9 and mn = 0.36, find:
m2 - n2.
Simplify:
(x + y - z)2 + (x - y + z)2
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
