Students will find volume of composite figures by decomposing them into rectangular prisms.
A composite stage platform is made from two non-overlapping rectangular prisms. Prism A is \(4\) centimeters long, \(2\) centimeters wide, and \(2\) centimeters tall. Prism B is \(3\) centimeters long, \(3\) centimeters wide, and \(1\) centimeter tall. What is the total volume?
A composite classroom model is made from two non-overlapping rectangular prisms. Prism A is \(5\) inches long, \(4\) inches wide, and \(5\) inches tall. Prism B is \(6\) inches long, \(4\) inches wide, and \(3\) inches tall. What is the total volume?
A composite storage display is made from two non-overlapping rectangular prisms. Prism A is \(6\) feet long, \(2\) feet wide, and \(3\) feet tall. Prism B is \(3\) feet long, \(5\) feet wide, and \(5\) feet tall. What is the total volume?
A composite museum stand is made from two non-overlapping rectangular prisms. Prism A is \(7\) meters long, \(4\) meters wide, and \(6\) meters tall. Prism B is \(6\) meters long, \(2\) meters wide, and \(2\) meters tall. What is the total volume?
A composite garden block is made from two non-overlapping rectangular prisms. Prism A is \(8\) centimeters long, \(2\) centimeters wide, and \(4\) centimeters tall. Prism B is \(3\) centimeters long, \(3\) centimeters wide, and \(4\) centimeters tall. What is the total volume?
A composite science fair model is made from two non-overlapping rectangular prisms. Prism A is \(9\) inches long, \(4\) inches wide, and \(2\) inches tall. Prism B is \(6\) inches long, \(4\) inches wide, and \(1\) inches tall. What is the total volume?
A composite bookcase base is made from two non-overlapping rectangular prisms. Prism A is \(4\) feet long, \(2\) feet wide, and \(5\) feet tall. Prism B is \(3\) feet long, \(5\) feet wide, and \(3\) feet tall. What is the total volume?
A composite shipping stack is made from two non-overlapping rectangular prisms. Prism A is \(6\) centimeters long, \(2\) centimeters wide, and \(6\) centimeters tall. Prism B is \(3\) centimeters long, \(3\) centimeters wide, and \(2\) centimeters tall. What is the total volume?
Find each part first: Prism A is \(4 \times 2 \times 2 = 16\) cubic centimeters, and Prism B is \(3 \times 3 \times 1 = 9\) cubic centimeters. Because the parts do not overlap, add them: \(16 + 9 = 25\) cubic centimeters.
Find each part first: Prism A is \(5 \times 4 \times 5 = 100\) cubic inches, and Prism B is \(6 \times 4 \times 3 = 72\) cubic inches. Because the parts do not overlap, add them: \(100 + 72 = 172\) cubic inches.
Find each part first: Prism A is \(6 \times 2 \times 3 = 36\) cubic feet, and Prism B is \(3 \times 5 \times 5 = 75\) cubic feet. Because the parts do not overlap, add them: \(36 + 75 = 111\) cubic feet.
Find each part first: Prism A is \(7 \times 4 \times 6 = 168\) cubic meters, and Prism B is \(6 \times 2 \times 2 = 24\) cubic meters. Because the parts do not overlap, add them: \(168 + 24 = 192\) cubic meters.
Find each part first: Prism A is \(8 \times 2 \times 4 = 64\) cubic centimeters, and Prism B is \(3 \times 3 \times 4 = 36\) cubic centimeters. Because the parts do not overlap, add them: \(64 + 36 = 100\) cubic centimeters.
Find each part first: Prism A is \(9 \times 4 \times 2 = 72\) cubic inches, and Prism B is \(6 \times 4 \times 1 = 24\) cubic inches. Because the parts do not overlap, add them: \(72 + 24 = 96\) cubic inches.
Find each part first: Prism A is \(4 \times 2 \times 5 = 40\) cubic feet, and Prism B is \(3 \times 5 \times 3 = 45\) cubic feet. Because the parts do not overlap, add them: \(40 + 45 = 85\) cubic feet.
Find each part first: Prism A is \(6 \times 2 \times 6 = 72\) cubic centimeters, and Prism B is \(3 \times 3 \times 2 = 18\) cubic centimeters. Because the parts do not overlap, add them: \(72 + 18 = 90\) cubic centimeters.
