Respuesta :

Answer:

840 cm³

Step-by-step explanation:

Cut the prism into two cuboids.

The first cuboid has dimensions of 4 cm × 6 cm × 5 cm

The height is 4 cm, the width is 5 cm and the length is 6 cm.

The second cuboid has dimensions of 15 cm × 6 cm × 8 cm.

The height is 8 cm, the width is 6 cm and the length is 15 cm.

The formula for the volume of the cuboid is l×w×h.

Length × Width × Height

The first cuboid has a volume of:

4 cm × 6 cm × 5 cm

= 120 cm³

The second cuboid has a volume of:

15 cm × 6 cm × 8 cm

= 720 cm³

Add the volumes of the two cuboids.

720 cm³ + 120 cm³

= 840 cm³

The volume of the prism is 840 cm³.

Answer:

V = 840 cm³

Step-by-step explanation:

Let's Divide this prism into two rectangular Prisms

Prism 1:

Volume = [tex]Length * Width * Height[/tex]

V = 15 * 8 * 6

V = 720 cm³

Prism 2:

Volume = [tex]Length * Width * Height[/tex]

V = 4 * 5 * 6

V = 120 cm²

Whole Prism

V = 720+120 = 840 cm³

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