1. A modern art piece consists of two stacked rectangular blocks. The bottom block is 15 cm long, 10 cm wide, and 4 cm high. The top block is 7 cm long, 10 cm wide, and 6 cm high. What is the total volume in cubic cm? ___
2. A custom bookshelf is made of two rectangular pieces of wood. The vertical piece is 2 ft long, 1 ft wide, and 5 ft tall. The horizontal base is 4 ft long, 1 ft wide, and 2 ft tall. What is the total volume in cubic feet? ___
3. A composite figure has a total volume of 500 cubic inches. It is made of two prisms. Prism A has a volume of 220 cubic inches. Prism B has a length of 10 inches and a width of 7 inches. What is the height of Prism B?
4. A set of concrete steps is formed by two rectangular prisms. The bottom step measures 10 ft by 4 ft by 1 ft. The top step, placed on the bottom one, measures 10 ft by 2 ft by 1 ft. What is the total volume of concrete used? ___
5. An office building is shaped like two connected rectangular prisms. The main tower is 50 m tall, 20 m wide, and 15 m deep. The attached annex is 25 m tall, 10 m wide, and 15 m deep. What is the total volume of the building? ___
6. A solid is formed by joining two non-overlapping rectangular prisms. Prism A is 10 cm by 5 cm by 3 cm, and Prism B is 6 cm by 5 cm by 4 cm. What is the total volume of the solid? ___ cm³
7. A wooden block measuring 12 in by 8 in by 10 in has a rectangular hole measuring 5 in by 3 in by 10 in cut through it. The volume of the remaining wood is ___ cubic inches.
8. A T-shaped concrete barrier consists of two prisms. The top bar is 10 m long, 3 m high, and 4 m wide. The vertical stem is 5 m high, 2 m long, and 4 m wide. What is the total volume? ___ m³
9. A staircase is built from two rectangular blocks. The bottom block is 5 ft wide, 4 ft deep, and 1 ft high. The top block is 5 ft wide, 2 ft deep, and 1 ft high. What is the total volume? ___ cubic feet.
10. A large cube has side lengths of 10 inches. A smaller cube with side lengths of 4 inches is cut out from one corner. What is the volume of the remaining solid? ___ cubic inches.