Question

The maximum volume of a cube which can be carved out from a cuboid of dimensions
11 cm x 9 cm x 7 cm is:
A 729 cm^3
C. 1331 cm^3
B. 693 cm^3
D. 343 cm^3
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Answer 1

Step-by-step explanation:

volume of cuboid = 11×7×9

= 693cm^3

Answer 2

Answer:

Volume of cuboid=length∗breadth∗height.

Volume of cube=side

7

(since length,breadth and height are same)

The dimensions of the cuboid that is given are 11,9 and 7.

In order to carve a cube out of a cuboid all the sides have to be equal.

The volume of the cube has to be the MAXIMUM volume that can be carved in.

All the either can be 11 or 9 or 7. It cannot be 11 because other sides are less that 11. They cannot be extended. It cannot be 9 either bacause the third dimension is less than 9 that is 7 So all the dimensions of the cube have to be 7 cm

Therefore the maximum volume of the cube that can be carved of it is

⇒7∗7∗7=343 cm^3

Hence Option D is correct