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Yogita Ingle 4 years, 9 months ago
The surface area of a cub is 6*(area of one face) = 6LW
The volume of a cube is LWH
acube = 6LW
to make two equal cuboids, we cut the cube in half through its height - LW(.5H)
The surface area of the cuboid is
base + top + four sides
LW + LW + 4(.5HL)
2LW + 2LH
acuboid = 2L(W+H)
so the ratio of the cube to the cuboid is
acube : acuboid
6LW : 2L(W+H)
now, the important part, since we started with a cube L = W = H, so we can simplify
6LL : 2L(L+L)
6L2 : 2L(2L)
6L2 : 4 L2
6:4
3:2
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Yogita Ingle 4 years, 9 months ago
Give the geometric representation of 2x +9=0 as an equation (i) in one variable (ii) in two variable
2x + 9 = 0
=> x = -4.5
2x + 9 = y
x y
-5 -1
-4 1
-3 3
-2 5
-1 7
0 9
1 11
2 13
Draw graph of given points
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Yogita Ingle 4 years, 9 months ago
Given that in a right angled triangle, whose sides are 3 cm and 4 cm(other than hypotenuse).
The double cone so formed by revolving this right-angled triangle ABC about its hypotenuse .
Hypotenuse AC = Ö( 32 + 42) = 5 cm
Area of ΔABC = (1/2) x AB xAC
⇒ (1/2) x AC x OB = (1/2)x 4 x3
⇒ (1/2) x 5 x OB = 6
⇒ OB = 12 / 5 = 2.4 cm.
Volume of double cone = Volume of cone 1 + Volume of cone 2
= (1/3) πr2h1 + (1/3)πr2h2
= (1/3) πr2(h1 + h2)
= (1/3) πr2(OA +OC)
= (1/3) x 3.14x(2.4)2 x(5)
= 30.14 cm 3
Posted by Akshat Jain 4 years, 9 months ago
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Yogita Ingle 4 years, 9 months ago
Let the smallest angle of the parallelogram be
Therefore, according to the given statement other angle becomes 2x - 24 .
Also, the opposite angles of a parallelogram are equal.
Therefore, the four angles become x, 2x - 24, x and 2x - 24
According to the angle sum property of a quadrilateral:
x+ 2x - 24+ x+ 2x - 24 = 360
6x = 408
x = 68
Thus, the other angle becomes 68, 112, 68 and 112.
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Aditya Sinha 4 years, 9 months ago
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