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Lesson 7: Solve Multi-Step Word Problems Using Volume — Practice Questions

  1. 1. A concrete planter is a rectangular prism measuring 4 ft by 2 ft by 3 ft, with a hollow interior of 3.5 ft by 1.5 ft by 2.5 ft. If concrete costs $120$ per cubic foot, what is the total cost? $___

  2. 2. A wooden display has two tiers. The bottom is 12 cm x 10 cm x 4 cm and the top is 8 cm x 10 cm x 6 cm. If the wood weighs 0.6 g/cm³, what is the total weight?

    • A. 288 g
    • B. 576 g
    • C. 960 g
    • D. 1600 g
  3. 3. A rectangular aquarium has dimensions of 50 cm, 30 cm, and 40 cm. Water has a mass of 1 gram per cubic centimeter. What is the mass in grams of the water when the aquarium is full? ___ g

  4. 4. To find the cost of a statue made of marble, given its dimensions and the cost per cubic meter, what is the essential first step?

    • A. Multiply the dimensions by the cost rate.
    • B. Calculate the total volume of the statue.
    • C. Divide the cost rate by the volume.
    • D. Add all the dimensions together.
  5. 5. A hollow block has outer dimensions 10 in x 8 in x 6 in and inner dimensions 8 in x 6 in x 4 in. If the material costs $2$ per cubic inch, what is the cost of the block? $___

  6. 6. A metal part consists of two joined rectangular prisms. One is 2x3x10 cm, the other is 4x3x5 cm. If the metal weighs 8 g/cm³, what is the total weight?

    • A. 480 g
    • B. 120 g
    • C. 960 g
    • D. 15 g
  7. 7. A bookshelf is made from a vertical piece of wood (3 ft x 1 ft x 6 ft) and a horizontal piece (4 ft x 1 ft x 2 ft). If the wood costs $25$ per cubic foot, what is the total cost of the wood? $___

  8. 8. A hollow square beam is 100 cm long with outer sides of 20 cm and inner sides of 15 cm. If the material weighs 7.5 g/cm³, what is the beam's total weight?

    • A. 300,000 g
    • B. 168,750 g
    • C. 131,250 g
    • D. 2,333 g
  9. 9. A contractor needs to determine the amount of paint required to cover the four walls and ceiling of a rectangular room. Which measurement should be calculated?

    • A. Volume
    • B. Surface Area
    • C. Perimeter
    • D. Diagonal Length
  10. 10. An L-shaped water trough has a shallow section measuring $6$ ft by $3$ ft with a depth of $2$ ft, and a deep section measuring $4$ ft by $3$ ft with a depth of $5$ ft. What is the total volume of water needed to fill it? ___ cubic ft.