1. Allie has two aquariums connected by a small square prism. Find the volume of the double aquarium.
2. The figure is composed of a rectangular prism and a triangular prism. Find the volume of the figure.
3. The figure is composed of a rectangular prism and a triangular prism. Find the volume of the figure.
1. Answer :
Step 1 :
Find the volume of each of the larger aquariums.
Volume = Base area x Height
Volume = (4 x 3) x 3
Volume = 12 x 3
Volume = 36 cubic ft.
Step 2 :
Find the volume of the connecting prism.
Volume = Base area x Height
Volume = (2 x 1) x 1
Volume = 2 x 1
Volume = 2 cubic ft.
Step 3 :
Add the volumes of the three parts of the aquarium.
V = 36 + 36 + 2
V = 74 cubic ft.
The volume of the aquarium is 74 cubic ft.
2. Answer :
Step 1 :
Find the volume of each of the larger aquariums.
Volume = Base area x Height
Volume = (30 x 13) x 13
Volume = 5070 cubic in.
Step 2 :
Find the volume of the triangular prism.
Volume = (1/2) x Base area x Height
Volume = (1/2) x (30 x 9) x 13
Volume = 1755 cubic in.
Step 3 :
Add the volumes of the two parts of the aquarium.
V = 5070 + 1755
V = 6825 cubic in.
The volume of the given figure is 6825 cubic in.
3. Answer :
Step 1 :
Find the volume of each of the larger aquariums.
Volume = Base area x Height
Volume = (12 x 6) x 4
Volume = 288 cubic ft.
Step 2 :
Find the volume of the triangular prism.
Volume = (1/2) x Base area x Height
Volume = (1/2) x (6 x 6) x 4
Volume = 72 cubic ft.
Step 3 :
Add the volumes of the two parts of the aquarium.
V = 288 + 72
V = 360 cubic ft.
The volume of the given figure is 360 cubic ft.
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