Imeldaducta18idn
Answered

Makakuha ng mga sagot sa iyong mga pinakamahahalagang tanong sa IDNStudy.com. Makakuha ng impormasyon mula sa aming mga eksperto, na nagbibigay ng maaasahang sagot sa lahat ng iyong mga tanong.

Give the volume by counting the number of cubes in each figure.​

Give The Volume By Counting The Number Of Cubes In Each Figure class=

Sagot :

Saichinisyidn

Answer:

Diko maintindihan ang photo kaya explanation nalang:)

Step-by-step explanation:

cube is a solid box whose every surface is a square of same area.

Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure it is clear that 8 such cubes will fit in it. So the volume of the box will be equal to the volume of 8 unit cubes together.

Therefore, the volume of the cube = 8 cu cm

Note that 8 = 2 × 2 × 2

Thus, volume of a cube = side × side × side = side3

Hence, a cube has:

(i) six surfaces or faces,

(ii) 8 vertices,

(iii) 12 edges or sides of equal length.

Volume of a Cube

6Save

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

6Save

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

6Save

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

The volume of water that the container can hold = the internal volume of the container.

Therefore, the required volume of water = 8 cu m.

Questions and Answers on Cube:

1. Find the volume of cubes with each edge measuring:

(i) 5 cm

(ii) 10 m

(iii) 1.1 cm

(iv) 30 mm

(v) 4.3 m

Answers:

(i) 125 cu cm

(ii) 1000 cu m

(iii) 1.331 cu cm

(iv) 2700 mm

(v) 79.507 cu m

Maraming salamat sa iyong kontribusyon. Huwag kalimutang bumalik at magtanong ng mga bagong bagay. Ang iyong kaalaman ay napakahalaga sa ating komunidad. Salamat sa pagbisita sa IDNStudy.com. Nandito kami upang magbigay ng malinaw at tumpak na mga sagot.