The volume of a cube of side S cm is given by S x S.

True

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False

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Solution

The correct option is B False

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$T h e r e a r e 2 c u b e s A a n d B e a c h o f v o l u m e X c m^{3}$ . $C u b e B i s c u t i n t o s m a l l e r c u b e s e a c h o f v o l u m e Y c m^{3}$ . $T h e s u r f a c e a r e a a n d v o l u m e s o f t h e r e s u l t i n g c u b e s a r e c o m p a r e d$

S1: The ratio of volumes of A and B = 1:1

S2: The ratio of surface areas of A and B = 1:1

There are 2 cubes A and B each of volume $X c m^{3}$ . Cube B is cut into smaller cubes each of volume $Y c m^{3}$ . The surface area and volumes of the resulting cubes are compared

Statement (S1): The ratio of volumes of A and B(after cutting) = 1:1

Statement (S2): The ratio of surface areas of A and B(after cutting) = 1:1

(a) If two cubes of dimensions 3 cm by 3 cm by 3 cm are placed side by side, then what is the resulting dimension(length (l), breadth (b) and height (h)) of the cuboid? Find the value of l+b+h (in cm).

(b) A metallic cylinder with volume $1331 c m^{3}$ is melted and is transformed into a cube. What will be the length of the sides of the cube formed? (Volume of a cube with side length $a$ is given as $a^{3}$ )
[3 MARKS]

Q. The volume of a cube is

1000 c m^{3}

. Find the side of a cube in

c m

Q. Volume of a cube of side 6 cm is :

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