Question

A wooden rectangular piece of wood with dimensions are 14 cm, 13 cm and 5 cm respectively

B. Opposite sides of 5 cm x 14 cm piece are coloured red

C. Opposite sides of 14 cm x 13 cm are coloured blue.

D. The remaining sides of 5 cm x 13 cm are coloured green.

E. Now the piece is cut in such a way that cubes of 1 cm x 1 cm x 1 cm are made.

Ques-1How many cubes shall have only two colours red and green?

Ques-2 How many cubes shall have only one blue colour?

plz answer fast ​

Answer 1

Answer:

Read Solution (Total 2)

D. 6 cubes will have no faces coloured.

Reason :

Required number of small cubes = (5 - 2) x (4 - 2) x (3 - 2)

= 3 x 2 x 1

= 6

d.6

since at the center there will be 10 cubes

with that 4 will be coloured as red

remove that 4 from 10 you will get 6

(i.e 10-4=6)8 years agoHelpfull: Yes(1) No(2)

here is a cuboid whose dimensions are 4 x 3 x 3 cm.

The opposite faces of dimensions 4 x 3 are coloured yellow.

The opposite faces of other dimensions 4 x 3 are coloured red.

The opposite faces of dimensions 3 x 3 are coloured green.

Now the cuboid is cut into small cubes of side 1 cm.

How many small cubes will have only two faces coloured ?

A. 12 B. 24

C. 16 D. 12All the faces of cubes are painted with red colour.

The cubes is cut into 64 equal small cubes.How many small cubes are there whose three faces are coloured ?

A. 4 B. 8

C. 16 D. 24

Answer 2

Answer:

Answer to Ques-1 : 20 cubes shall have only two colours red and green.

Answer to Ques-2: 364 cubes shall have only one blue colour.

Step-by-step explanation:

Dimension of rectrangular larger cube = 14cm  x 13cm x 5cm

Dimension of smaller cube = 1cm x 1cm x 1cm

Number of surface having dimension 5cm x 14cm with color red = 2

Number of surface having dimension 14cm x 13cm with color blue = 2

Number of surface having dimension 5cm x 13cm with color green = 2

Number of edges with color red and green = 4

Solution to Ques 1 :

Since, 5 small cubes of edge 1 cm can fit at edge of larger cube with color red and green and we have 4 number of such edges. Therefore in total we have (4 x 5) number of cubes. So, Total 20 cubes have both red and green color.

Solution to Ques 2 :

Since, the surface area of large cube with dimension 14cm x 13 cm have blue color, so 182 number of small cubes can fit in that area.

Also we have 2 such surfaces so in total we have 182 x 2 = 364 cubes which have only blue color.