The ratio of the number of sides of a square and the number of edges of a cube is ?

1 : 2

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1 : 3

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1 : 4

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2 : 3

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Solution

The correct option is D $1 : 2$
$L e t X b e t h e s i d e o f t h e c u b e .$

$T h e r e f o r e X^{2} * 6 = s u r f a c e a r e a .$

$T h e s q u a r e i s t h e s a m e o t h e r t h a n l e n g t h i s 2 X .$

$T h e a r e a o f t h e s q u a r e i s s a m e a s t h e c u b e .$

$2 * a^{2} + 2 * a^{2} + 2 * a^{2} = 4 X^{2} + 4 X^{2} + 4 X^{2} = 10 X^{2} .$

$\frac{6 X^{2}}{12 X^{2}} = \frac{1}{2}$

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Question 2

Only one of the four options is correct. Write the correct one.

The ratio of the number of sides of a square to the number of edges of a cube is

a) 1 : 2

b) 3 : 2

c) 4 : 1

d) 1 : 3

Q. The ratio of the area of a square of side a and that of an equilateral triangle of side a, is

(a) 2 : 1
(b)

2 : \sqrt{3}

4 : \sqrt{3}

Question 2

A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cube and cut-out cubes ?
(a) 1 : 2 (b) 1 :3 (c) 1 : 4 (d) 1 : 6

Q. A square has side 4 cm. Another square is obtained by doubling the sides of the first square. What is the ratio between the areas of the first and the second square?

Question 2

A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cube and cut-out cubes ?
(a) 1 : 2 (b) 1 :3 (c) 1 : 4 (d) 1 : 6

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The ratio of the number of sides of a square and the number of edges of a cube is ?

The correct option is D 1:2LetXbethesideofthecube.ThereforeX2∗6=surfacearea.Thesquareisthesameotherthanlengthis2X.Theareaofthesquareissameasthecube.2∗a2+2∗a2+2∗a2=4X2+4X2+4X2=10X2.6X212X2=12