zMath Intervention Math (19-36) - Unit 19: Surface Area
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Surface Area of a Rectangular Prism

1) The given net is the two-dimensional view of what solid? What is the solid’s surface area?

2) What is the surface area of the rectangular prism?

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3) The figure below represents a box that has been unfolded and lain flat. The lightly-colored (yellow) rectangles represent the bottom and the lid of the box. The darker-colored (blue) rectangles represent the sides of the box. Each square is one unit in length and width. What is the surface area of the prism?

4) The surface area of a rectangular prism is 60.9 square inches (rounded to the nearest tenth). Which net represents the prism? State the letter of the correct answer.

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5) Notice that each of the dimensions of Rectangular Prism B is double the length of the dimensions in Rectangular Prism A. Calculate the surface area of each prism and select the statement that is true about both prisms

Surface Area of a Cube

6) If T represents surface area, and “s” represents the length of one edge of a cube, what is the formula to find the surface area of a cube? State the letter of the correct answer.

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7) If the edge of a cube measures seven centimeters, what is the surface area of the cube?

8) Which cube has a surface area of 150 square inches? State the letter of the correct answer.

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9) What is the surface area of the die shown below with an edge measuring 0.72 inches in length? Express the answer to the nearest one hundredth of an inch.

10) Becky ordered a new computer monitor as a birthday present for her sister. The monitor arrived in a cube-shaped box that measured 0.8 feet on one edge. Becky needed at least how much gift wrap paper to cover the whole box? Select the most reasonable answer.

11) The edge of Cube A measures 5 meters and the edge of Cube B is double the length of Cube A. Calculate the surface area of both cubes, and then determine if the following statement is true or false: “The surface area of Cube B is double the surface area of Cube A.

Surface Area of a Triangular Prism

12) What is the surface area of the triangular prism shown below that is displayed in its “net” form?

13) What is the surface area of the triangular prism?

14) What is the surface area of the triangular prism?

Surface Area of a Cylinder

For the remaining part of this unit, use 3.14 for “pi” in the formulas, as needed.

15) What is the formula to find the surface area of a cylinder? State the letter of the correct answer.

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16) What is the surface area of a cylinder with a radius of 4 centimeters and a height of 12 centimeters?

17) What is the surface area of a can of mushrooms with a diameter of 2.5 inches and a height of 2.5 inches?

18)

What is the surface area of the cylinder?


19) Which net represents the surface area of a cylinder that is approximately 542.8 square centimeters? State the letter of the correct answer.

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Surface Area of a Pyramid

20) Describe, in detail, the difference between the height of a pyramid and the “slant” height of a pyramid. Assume the pyramid as a square base.

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21) What is the surface area of the pyramid shown below that is displayed in its “net” form?

22) What is the surface area of a pyramid with a square base that measures 14 centimeters on each side and a slant height of 19 cm?

23) A pyramid has a surface area of 96 square meters. The base is a square with edges measuring 6 meters. Is the following statement true or false? The height of the pyramid is 7 meters. (Use the figure and formula below plus substitution to help determine the correct answer.)

24) Which net represents the surface area of a square pyramid that is 1,000 square inches? State the letter of the correct answer.

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Surface Area of a Cone

25) What is the total surface area of a cone with a radius of 7 meters and a slant height of 11 meters? Label the answer correctly and express the answer to the nearest hundredth.

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26)

What is the lateral surface area of a cone that has a radius of 12 inches and a slant height of 23 inches? Label the answer correctly and express the answer to the nearest hundredth.


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27) A cone-shape ice cream cone has a diameter of 2.5 inches and a slant height of 6 inches. What is the lateral surface area of the cone? Label the answer correctly and express the answer to the nearest hundredth.

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28) To build a tepee, the surface area must be calculated to know how much canvas to purchase for the tent and floor covering. If a cone-shaped tepee has a radius of 6 feet and a slant height of 12 feet, what is the total surface area of the tepee? Label the answer correctly and express the answer to the nearest hundredth.

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Surface Area of a Sphere

29) What is the surface area of a sphere with a radius of 8 inches? Label the answer correctly and express the answer to the nearest hundredth.

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30) A regulation size soccer ball has a diameter of 22 centimeters. What is the surface area of the ball? Label the answer correctly and express the answer to the nearest hundredth.

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31) The surface area for the sphere is 800 square centimeters. Follow the steps and instructions provided below to find the radius of the sphere. Answer the following questions: (a) In Steps 3 and 4, what number is missing? (b) In Step 5, what number is missing? Express this number to the nearest ten thousandth. (c) What is the radius of the sphere (Step 6)? Express this number to the nearest hundredth.

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32) The radius of the Earth is approximately 3963 miles. What is the surface area of the Earth? Express the answer to the nearest whole mile.

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33) The Earth’s land mass is 29.2% of the total surface area of the Earth. Refer to the previous problem and calculate the amount of land on Earth. Express the answer to the nearest whole mile.

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