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Lesson 12-3: Solve Problems Involving Area and Surface Area — Practice Questions

  1. 1. The top face of a rectangular box is 9 inches long and 5 inches wide. What is the combined area of the top and bottom faces in square inches? ___

  2. 2. The front face of a rectangular prism has an area of 25 cm². What is the total area for the front and back faces combined?

    • A. 25 cm²
    • B. 50 cm²
    • C. 75 cm²
    • D. 100 cm²

  3. 3. A side face of a prism measures 7 meters by 4 meters. What is the total area of both the left and right side faces in square meters? ___

  4. 4. A rectangular prism has how many pairs of congruent opposite faces?

    • A. 1
    • B. 2
    • C. 3
    • D. 6

  5. 5. The front face of a crate is 10 feet long and 8 feet high. What is the combined area of the front and back faces in square feet? ___

  6. 6. Two rectangular prisms are glued together along one face. To find the surface area of the new shape, you add their individual surface areas and then:

    • A. do nothing else.
    • B. subtract the area of the overlapping face once.
    • C. subtract the area of the overlapping face twice.
    • D. add the area of the overlapping face.

  7. 7. Two identical cubes, each with a side length of 4 cm, are glued together to share one full face. What is the total surface area of the resulting composite solid in square cm? ___.

  8. 8. A square pyramid is placed on top of a cube so that its base perfectly covers the cube's top face. Which parts are NOT included when calculating the total surface area?

    • A. The triangular faces of the pyramid and the bottom of the cube.
    • B. The base of the pyramid and the top face of the cube.
    • C. Only the base of the pyramid.
    • D. Only the square faces of the cube.

  9. 9. Three identical cubes, each with an edge length of 2 inches, are glued together in a single row. What is the total surface area of the resulting solid in square inches? ___.

  10. 10. When two solids are joined along a single face of area $A$, the total surface area is found by adding their individual surface areas and then subtracting $2A$.

    • A. True
    • B. False