Question

The number of 4cm cubes which can be cut from a solid cube of edge 32cm is 256.is true or false
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Answer 1

Answer:

false

Explanation:

We know, volume of a cube V=a

3

, where a is the edge.

Given, edge of smaller cubes =4cm.

Then, volume of smaller cube=(4)

3

=64cm

3

.

Also, edge of larger cube =32cm.

Then, volume of the larger cube=(32)

3

=32768cm

3

.

Since the smaller cube are cut from the larger cubes, the volume of all the smaller cubes is equal to the volume of the larger cube.

That is,

Total number of smaller cubes × volume of smaller cubes = Volume of larger cube.

∴ Total no of smaller cubes = Volume of larger cube ÷ Volume of smaller cube.

⟹ Total no. of smaller cube =

64

32768

=512.

Hence, option D is correct.

Answer 2

Answer:

False

Explanation:

Volume of solid = side^3

= 32 x 32 x32

Volume of small cube= 4 x 4x 4

Total number of small cube = volume of solid /volume of small cube.

256 = 32/4 x 32/4 x 32/4

256 =8 x 8 x8

256 not equal to 512

It is false