Activity 1
A. Study and analyze this figure and then answer the questions below.
1. This cube was cut into 1 cm3 of smaller cubes.
About how many smaller cubes does this
larger cube have?
Name
2. How many cm does the length, width,
and height have?
B. How many cubes of side 1 cm can you fit in each box?
1
2.
3.
3 cm
2 cm
2cm
3cm
3 cm
5 cm
3 cm
8 cm
4 cm
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Step-by-step explanation:
Hence, a cube has:
(i) six surfaces or faces,
(ii) 8 vertices,
(iii) 12 edges or sides of equal length.
Volume of a Cube
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Since a cube has all sides equal.
Volume of a cube = (side × side × side) cubic units.
= 1 × 1 × 1 cubic units
Since area = side × side
Volume of a cube = (area × side) cubic units.
Solved examples on volume of a cube:
1. Find the volume of cuboid by counting the number of cubes.
Solution:
Cuboid Volume
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Solution:
The number of unit cubes are 6, its volume is 6 cu cm.
2. Find the volume of cuboid by counting the number of cubes.
Solution:
Cuboid Volume Problem
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Solution:
The number of cubes are 12, its volume is 12 cu cm.
3. Find the volume of a cube whose edge is 5 cm long.
Solution:
The length of an edge = 5 cm
Volume of a cube = side of edge × side of edge × side of edge
Volume of a cube = 5 cm × 5 cm × 5 cm
= 125 cu cm
= 125 cm3
4. Find the volume of a cube of side 7 cm.
Solution:
We know, volume of a cube = (side × side × side) cubic units.
Here, side = 7 cm.
= 7 × 7 × 7
= 343
Therefore, volume of a cube = 343 cubic cm.
5. Find the volume of a cube of side 13 cm.
Solution:
We know, volume of a cube = (side × side × side) cubic units.
Here, side = 13 cm.
= 13 × 13 × 13
= 2197
Therefore, volume of a cube = 2197 cubic cm.
6. Find the volume of water that can be contained in a cubical container each of whose edge measure 2 m internally.
Solution:
The internal length of an edge of the container = 2 m
The internal volume of the container = 2 m × 2 m × 2 m = 8 cu m
Sana nakatulong
pa brainliest answer p
thanks