(Volume =

Step: 1

There are 4 cubes along the length of the prism. So, the length of the prism (l ) = number of cubes × length of each cube = 4 × 3 = 12 in.

Step: 2

Similarly, width of the prism (w ) = 2 × 3 = 6 in. and height of the prism (h ) = 3 × 3 = 9 in.

Step: 3

Volume of the prism = l × w × h = 12 × 9 × 6

[Substitute values.]

Step: 4

= 648 in.^{3}

[Multiply.]

Step: 5

So, the volume of the rectangular prism is 648 in.^{3}

Correct Answer is : 648 in.^{3}

Step: 1

Volume of a prism = l × w × h

Step: 2

Volume of Figure 1 = 4 × 2 × 2 = 16 cubic units.

[l = 4 units, w = 2 units, h = 2 units.]

Step: 3

Volume of Figure 2 = 3 × 1 × 3 = 9 cubic units.

[l = 3 units, w = 1 units, h = 3 units.]

Step: 4

Volume of Figure 3 = 2 × 2 × 3 = 12 cubic units.

[l = 2 units, w = 2 units, h = 3 units.]

Step: 5

Volume of the prism in Figure 2 is 9 cubic units.

Step: 6

So, Figure 2 is the correct answer.

Correct Answer is : Figure 2

Step: 1

Volume of the solid = l × w × h

Step: 2

Volume V = 8 × 1 × 4 = 32 cubic units

[l = 8 units, w = 1 unit, h = 4 units.]

Step: 3

Volume of the given solid is 32 cubic units.

Correct Answer is : 32 cubic units

Step: 1

Volume of the solid = l × w × h

Step: 2

Volume V = 4 × 3 × 4 = 48 cubic units

[l = 4 units, w = 3 units, h = 4 units.]

Step: 3

Volume of the given solid is 48 cubic units.

Correct Answer is : 48 cubic units

Step: 1

Volume of the solid = l × w × h

Step: 2

Volume V = 8 × 4 × 4 = 128 cubic units

[l = 8 units, w = 4 units, h = 4 units.]

Step: 3

Volume of the given solid is 128 cubic units.

Correct Answer is : 128 cubic units

Step: 1

The solid given is made up of 16 small cubes.

Step: 2

Volume of the cuboid = Number of cubes × Volume of each cube
= 16 × 1 unit^{3}
= 16 unit^{3}

Correct Answer is : 16 unit^{3}

Step: 1

The solid given is made up of 96 small cubes.

Step: 2

Volume of the cuboid = Number of cubes × Volume of each cube
= 96 × 1 cm^{3}
= 96 cm^{3}

Correct Answer is : 96 cm^{3}

Step: 1

The solid given is made up of 72 small cubes.

Step: 2

Volume of the cuboid = Number of cubes × Volume of each cube
= 72 × 1 cm^{3}
= 72 cm^{3}

Correct Answer is : 72 cm^{3}

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