Brandon made a model of a tower as shown below. It is composed of a square, prism, and a square pyramid. The height of the pyramid is 2 inches while The height of the prism 3 feet and the base of the prism is 8 inches long. What is the volume, to the nearest cubic inch, of the tower?

Brandon made a model of a tower as shown below It is composed of a square prism and a square pyramid The height of the pyramid is 2 inches while The height of t class=

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The volume, to the nearest cubic inch, of the tower is 2,347.

Brandon made a model of a tower, as shown in the figure. The tower is composed of a square prism and a square pyramid. The height of the pyramid is 2 inches. The height of the prism is 3 feet = 36 inches and the base of the prism is 8 inches long. Let the volumes of the tower, prism, and pyramid be represented by the variables V, V1, and V2.

V1 = L*B*H

V1 = 8*8*36

V1 = 2,304

The volume of the square prism is 2,304 cubic inches.

V2 = (1/3)a²h

V2 = (1/3)(8)²(2)

V2 = 42.67

The volume of the square pyramid is 42.67 cubic inches.

The volume of the tower is the sum of the volumes of the square prism and the square pyramid.

V = V1 + V2

V = 2,304 + 42.67

V = 2,346.67

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