9514 1404 393
Answer:
- rectangular prism: 288 ft³
- triangular prism: 72 ft³
- total: 360 ft³
Explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH . . . . . the product of length, width, height
This rectangular prism has a volume of ...
V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume
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The volume of a triangular prism is found from the formula ...
V = Bh
where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...
A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.
Here, we have ...
B = 1/2(6 ft)(4 ft) = 12 ft²
V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume
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The total volume of the given geometry is the sum of the volumes of the parts:
aquarium volume = 288 ft³ +72 ft³ = 360 ft³