An illustration shows a that is shaped like a rectangular prism with two triangular prisms placed on the top, one on each side. The width of the rectangular prism is 10 inches, and the height is 12 inches. The base length of the triangular prisms on the top of the house is 8 inches each. There is a 2-inch gap between the two triangular prisms. The perpendicular height of the triangular prisms is 6 inches. A window is drawn on the face of each triangular prism, and a door is drawn on the bottom center of the rectangular prism.
Write and solve an expression for the total volume of the dollhouse.
Write ur answer with in.^3
Total volume = Volume of rectangular prism + Volume of two triangular prisms
Volume of rectangular prism = length x width x height
Volume of rectangular prism = 10in x 10in x 12in = 1200in^3
Volume of each triangular prism = 1/2 x base x height x perpendicular height
Volume of each triangular prism = 1/2 x 8in x 6in x 6in = 144in^3
Total volume of two triangular prisms = 2 x 144in^3 = 288in^3
Total volume = 1200in^3 + 288in^3 = 1488in^3
Therefore, the total volume of the dollhouse is 1488in^3.