Volume of a cube and a rectangular solid are equal. If the dimensions of rectangular solid are $4 c m \times 8 c m \times 16 c m$ , then the length of an edge of the cube is

8

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4

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16

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12

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Solution

The correct option is A $8$
We know, volume of a cube $=$ $(e d g e)^{3}$
Volume of a cuboid $=$ length $\times$ breadth $\times$ height
$\Rightarrow$ (edge) $^{3} = 4 \times 8 \times 16$
$\Rightarrow$ (edge) $^{3} = 8 \times 8 \times 8 = 8^{3}$
$\Rightarrow$ edge $= 8$ cm

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Question 15
If three cubes each of edge 4 cm are placed end to end, then the dimensions of resulting solid are

a) $12 c m \times 4 c m \times 4 c m$

b) $4 c m \times 8 c m \times 4 c m$

c) $4 c m \times 8 c m \times 12 c m$

d) $4 c m \times 6 c m \times 8 c m$

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