The volume of the prism shaped fish tank is: 408 in.³.
What is the Volume of a Prism?
Volume of prism = base area × height of prism.
The fish tank is a prism having a height of 8 inches. To find its volume, find the base area, which is the area of the composite figrue given.
Thus:
Base area = area of rectangle + area of triangle = (length × width) + (1/2(base × height).
Given:
- Length = 7 in.
- Width = 6 in.
- Base = 6 - 3 = 3 in.
- Height = 13 - 7 = 6 in.
Therefore:
Base area = (7 × 6) + 1/2(3 × 6)
Base area = 51 in.²
Volume of the prism shaped fish tank = 51 × 8 = 408 in.³.
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