PE 1 - Cubes | LR - Cubes
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Answer the following questions based on the information given below.
A cuboid shaped wooden block has 10 cm length, 5 cm breadth and 1 cm height.
- Two faces measuring 10 cm × 5 cm are colored in blue.
- Two faces measuring 10 cm × 1 cm are colored in red.
- Two faces measuring 5 cm × 1 cm are colored in green.
The block is divided into 10 equal cubes of side 1 cm (from 10 cm side), 5 equal cubes of side 1 cm (from 5 cm side).
How many cubes having red, green and blue colors on at least one side of the cube will be formed?
- (a)
16
- (b)
12
- (c)
10
- (d)
4
Solution
Discuss
ReportHow many small cubes will be formed?
How many cubes will have 4 colored sides and two non-colored sides?
- (a)
8
- (b)
4
- (c)
16
- (d)
10
How many cubes will have blue color on two sides and rest of the four sides having no color?
- (a)
24
- (b)
0
- (c)
32
- (d)
26
How many cubes will remain if the cubes having blue and green colored are removed?
Answer the following questions based on the information given below.
There is a cuboid whose dimensions are 3 × 4 × 5 cm.
- The opposite faces of dimensions 3 × 4 are colored yellow.
- The opposite faces of other dimensions 4 × 5 are colored red.
- The opposite faces of dimensions 5 × 3 are colored blue.
Now the cuboid is cut into smaller cubes of side 1 cm.
How many small cubes have three faces colored?
- (a)
24
- (b)
20
- (c)
16
- (d)
8
How many smaller cubes will have only two faces colored?
- (a)
12
- (b)
24
- (c)
16
- (d)
12
How many small cubes will have only one face colored?
- (a)
20
- (b)
22
- (c)
24
- (d)
28