Step: 1

The volume of the composite 3-D shape can be found by finding the volume of the individual shapes and adding them up.

Step: 2

The given composite shape is divided into two cuboids as shown.

Step: 3

Volume of the cuboid = Length × width × Height

Step: 4

Volume of cuboid A = 20 cm × 5 cm × 12 cm = 1 200 cm^{3}

[Length = 20 cm, width = 5 cm and Height = 12 cm]

Step: 5

Volume of cuboid B = 20 cm × 5 cm × 6 cm = 600 cm^{3}

[Length = 20 cm, width = 5 cm and Height = 6 cm]

Step: 6

Total volume = 1 200 cm^{3} + 600 cm ^{3} = 1 800 cm^{3}

[Total volume = Volume of the cuboid A + Volume of the cuboid B]

Step: 7

The volume of the composite 3-D shape is 1 800 cm^{3}.

Correct Answer is : 1 800 cm^{3}

Step: 1

The volume of the composite 3-D shape can be found by finding the volume of the individual shapes and adding them up.

Step: 2

The given composite shape is divided into two cubes as shown.

Step: 3

Volume of the cube = Length × width × Height

Step: 4

Volume of cube A = 6 cm × 6 cm × 6 cm = 216 cm^{3}

[Length = 6 cm, width = 6 cm and Height = 6 cm]

Step: 5

Volume of cube B = 4 cm × 4 cm × 4 cm = 64 cm^{3}

[Length = 4 cm, width = 4 cm and Height = 4 cm]

Step: 6

Total volume = 216 cm^{3} + 64 cm^{3} = 280 cm^{3}

[Total volume = Volume of cube A + Volume of cube B]

Step: 7

The volume of the composite 3-D shape is 280 cm^{3}.

Correct Answer is : 280 cm^{3}

Step: 1

The volume of the composite 3-D shape can be found by finding the volume of the individual shapes and adding them up.

Step: 2

The given composite shape is divided into a cuboid and a cube as shown.

Step: 3

Volume = Length × width × Height

Step: 4

Volume of A = 6 cm × 3 cm × 3 cm = 54 cm^{3}

[Length = 6 cm, width = 3 cm and Height = 3 cm]

Step: 5

Volume of B = 3 cm × 3 cm × 3 cm = 27 cm^{3}

[Length = 3 cm, width = 3 cm and Height = 3 cm]

Step: 6

Total volume = 54 cm^{3} + 27 cm^{3} = 81 cm^{3}

[Total volume = Volume of A + Volume of B]

Step: 7

The volume of the composite 3-D shape is 81 cm^{3}.

Correct Answer is : 81 cm^{3}

Step: 1

Volume of the cube = length × length × length

= 5 cm × 5 cm × 5 cm

= 125 cm^{3}

= 5 cm × 5 cm × 5 cm

= 125 cm

[Substitute the value and multiply.]

Step: 2

Volume of two such cubes = 2 × Volume of the cube

= 2 × 125 cm^{3}

= 250 cm^{3}

= 2 × 125 cm

= 250 cm

[Substitute the value and multiply.]

Step: 3

Volume of the cuboid = length × width × height

= 8 cm × 5 cm × 5 cm

= 200 cm^{3}

= 8 cm × 5 cm × 5 cm

= 200 cm

[Multiply.]

Step: 4

Volume of the given solid = Volume of the two cubes + Volume of the cuboid

= 250 cm^{3} + 200 cm^{3}

= 450 cm^{3}

= 250 cm

= 450 cm

Step: 5

So, the volume of the given solid is 450 cm^{3}.

Correct Answer is : 450 cm^{3}

Step: 1

Volume of the cube = length × length × length
= 5 cm × 5 cm × 5 cm

[Multiply.]

Step: 2

= 125 cm^{3}

Step: 3

Volume of the cuboid = 3 × Volume of the cube

= 3 × 125 cm^{3}

= 375 cm^{3}

= 3 × 125 cm

= 375 cm

[Multiply.]

Step: 4

So, the volume of the cuboid is 375 cm^{3}.

Correct Answer is : 375 cm^{3}

Step: 1

Volume of block 1 = Length × width × Height = 5 cm × 4 cm × 8 cm = 160 cm^{3}

Step: 2

Volume of block 2 = Length × width × Height = 5 cm × 4 cm × 3 cm = 60 cm^{3}

Step: 3

Total volume = 160 cm^{3} + 60 cm^{3} = 220 cm^{3}

Step: 4

The combined volume of the blocks is 220 cm^{3}.

Correct Answer is : 220 cm^{3}

Step: 1

Volume of an iron block A = Length × width × Height = 2 cm × 2 cm × 2 cm = 8 cm^{3}

Step: 2

Volume of an iron block B = Length × width × Height = 4 cm × 4 cm × 4 cm = 64 cm^{3}

Step: 3

Total volume = 8 cm^{3} + 64 cm^{3}

= 72 cm^{3}

= 72 cm

Step: 4

The combined volume of the iron blocks is 72 cm.^{3}

Correct Answer is : 72 cm^{3}

Step: 1

Volume of P = Length × width × Height = 6 cm × 4 cm × 2 cm = 48 cm^{3}

Step: 2

Volume of R = 1 2 × 48 cm^{3} = 24 cm^{3}

Step: 3

Total volume of the figure = 48 cm^{3} + 24 cm^{3} = 72 cm^{3}

Step: 4

The total volume of the figure is 72 cm^{3}.

Correct Answer is : 72 cm^{3}

Step: 1

Volume of A = Length × width × Height = 5 cm × 3 cm × 2 cm = 30 cm^{3}

Step: 2

Volume of B = 2 × Volume of A

Step: 3

= 2 × 30 cm^{3} = 60 cm^{3}

Step: 4

Total volume of the figure = 30 cm^{3} + 60 cm^{3} = 90 cm^{3}

Step: 5

The total volume of the figure is 90 cm^{3}.

Correct Answer is : 90 cm^{3}

Step: 1

To find the volume of the composite 3-D shape, count the number of small cubes in both A and B and add.

Step: 2

Number of small cubes filled in cuboid A is 12.

[Count the number of small cubes in cuboid A.]

Step: 3

Volume of A = 12 × 1 m^{3} = 12 m^{3}

Step: 4

Number of small cubes filled in cuboid B is 24.

[Count the number of small cubes in cuboid B.]

Step: 5

Volume of B = 24 × 1 m^{3} = 24 m^{3}

Step: 6

Total volume = Volume of A + Volume of B = 12 m^{3} + 24 m^{3} = 36 m^{3}

Step: 7

Volume of the composite 3-D shape is 36 m^{3}.

Correct Answer is : 36 m^{3}

Step: 1

To find the volume of the composite 3-D shape, count the number of small cubes in both A and B and add.

Step: 2

Number of small cubes filled in cuboid A is 16.

[Count the number of small cubes in cuboid A.]

Step: 3

Volume of A = 16 × 1 m^{3} = 16 m^{3}

Step: 4

Number of small cubes filled in cuboid B is 24.

[Count the number of small cubes in cuboid B.]

Step: 5

Volume of B = 24 × 1 m^{3} = 24 m^{3}

Step: 6

Total volume = Volume of A + Volume of B = 16 m^{3} + 24 m^{3} = 40 m^{3}

Step: 7

Volume of the composite 3-D shape is 40 m^{3}.

Correct Answer is : 40 m^{3}

Step: 1

To find the volume of the composite 3-D shape, count the number of small cubes in both A and B and add.

Step: 2

Number of small cubes filled in cuboid A is 48.

[Count the number of small cubes in cuboid A.]

Step: 3

Volume of A = 48 × 1 m^{3} = 48 m^{3}

Step: 4

Number of small cubes filled in cuboid B is 30.

[Count the number of small cubes in cuboid B.]

Step: 5

Volume of B = 30 × 1 m^{3} = 30 m^{3}

Step: 6

Total volume = Volume of A + Volume of B = 48 m^{3} + 30 m^{3} = 78 m^{3}

Step: 7

Volume of the composite 3-D shape is 78 m^{3}.

Correct Answer is : 78 m^{3}

Step: 1

Step: 2

Number of small cubes filled in cuboid A is 12.

[Count the number of small cubes in cuboid A.]

Step: 3

Volume of A = 12 × 1 m^{3} = 12 m^{3}

Step: 4

Number of small cubes filled in cuboid B is 18.

[Count the number of small cubes in cuboid B.]

Step: 5

Volume of B = 18 × 1 m^{3} = 18 m^{3}

Step: 6

Total volume = Volume of A + Volume of B = 12 m^{3} + 18 m^{3} = 30 m^{3}

Step: 7

Volume of the composite 3-D shape is 30 m^{3}.

Correct Answer is : 30 m^{3}

Step: 1

Step: 2

Number of small cubes filled in cuboid A is 32.

Step: 3

Volume of A is 32 × 1 cm^{3} = 32 cm^{3}

Step: 4

Number of small cubes filled in cuboid B is 24.

Step: 5

Volume of B is 24 × cm^{3} = 24 cm^{3}

Step: 6

Total Volume = Volume of A + Volume of B = 32 cm^{3} + 24 cm^{3} = 56 cm^{3}

Step: 7

Volume of the composite 3-D shape is 56 cm^{3}.

Correct Answer is : 56 cm^{3}

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