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Math Grade 6-8

Surface Area of 3D Figures

Finding the total area of the outside of solid shapes

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Practice finding the surface area of prisms, cubes, pyramids, and other 3D figures using formulas and area strategies.

Read each problem carefully. Find the surface area of each figure and include the correct square units. Show your work in the space provided.

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Finding the total area of the outside of solid shapes

Math - Grade 6-8

Instructions: Read each problem carefully. Find the surface area of each figure and include the correct square units. Show your work in the space provided.
  1. 1
    A cube with equal square faces shown in three-quarter view.

    A cube has side length 4 cm. Find its surface area.

  2. 2
    A rectangular prism with length, width, and height shown by its shape.

    A rectangular prism has length 6 m, width 3 m, and height 2 m. Find its surface area.

  3. 3
    A shallow rectangular prism with visible top, front, and side faces.

    A rectangular prism measures 8 in by 5 in by 2 in. Find its surface area.

  4. 4
    A triangular prism with right-triangle bases and rectangular side faces.

    A triangular prism has bases that are right triangles with side lengths 3 cm, 4 cm, and 5 cm. The length of the prism is 10 cm. Find its surface area.

  5. 5
    A square pyramid with its triangular faces and slant height indicated visually.

    A square pyramid has base side length 6 ft and slant height 5 ft. Find its surface area.

  6. 6
    An upright cylinder with a radius line shown on the top circle.

    A cylinder has radius 3 cm and height 8 cm. Use 3.14 for pi. Find its surface area.

  7. 7
    An upright cylinder with a diameter line shown across the top circle.

    A cylinder has diameter 10 m and height 7 m. Use 3.14 for pi. Find its surface area.

  8. 8
    A rectangular prism with distinct visible rectangular faces.

    A rectangular prism has length 9 cm, width 4 cm, and height 3 cm. Find its surface area.

  9. 9
    A cube-shaped gift box with ribbon bands.

    A cube-shaped gift box has a surface area of 216 square inches. What is the side length of the box?

  10. 10
    A square pyramid with a highlighted slant height on one triangular face.

    A square pyramid has base side length 10 cm and slant height 12 cm. Find its surface area.

  11. 11
    A right prism with square bases and rectangular side faces.

    A prism has a square base with side length 5 m and height 9 m. Find its surface area.

  12. 12
    A triangular prism with a triangular base and an interior height segment shown.

    A triangular prism has triangular bases with base 8 in and height 5 in. The other two sides of the triangle are 6 in and 7 in. The prism length is 12 in. Find its surface area.

  13. 13
    An upright cylinder with a radius line on the top circle.

    A cylinder has radius 4 ft and height 6 ft. Use 3.14 for pi. Find its surface area.

  14. 14
    A rectangular prism with its vertical height edges highlighted.

    A rectangular prism has surface area 94 square centimeters. Its length is 5 cm, width is 3 cm, and height is unknown. Find the height.

  15. 15
    Two identical cubes joined face-to-face forming one rectangular block.

    A composite solid is made of two identical cubes with side length 3 cm stacked face-to-face. Find the surface area of the solid.

LivePhysics™.com Math - Grade 6-8

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