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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