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Surface Area of Solids

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Surface Area of Solids worksheet preview

Surface Area of Solids

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📚 Part 1: Lesson Goals & Multiple Choice

I can: find the surface area of prisms, cylinders, cones, and spheres and choose correct units.

Success criteria: show formulas used, include correct units, and simplify answers (give π form or decimal to one decimal place).

Differentiation: small-group support: formula sheets and step prompts. Advanced learners: give answers in both exact (π) and decimal form.

Dyslexia-friendly option: read each question aloud; highlight key numbers and units. Use a ruler to follow lines.

1. A rectangular prism has length 5 in, width 3 in, and height 4 in. What is its total surface area?

47 in²

94 in²

188 in²

60 in²

2. A closed cylinder has radius 3 in and height 5 in. What is its surface area?

48π in²

150.8 in²

96π in²

90π in²

3. A sphere has radius 6 in. Which choice is the sphere's surface area?

144π in²

452.4 in²

72π in²

288π in²

4. A right circular cone has radius 4 in and slant height 7 in. What is its total surface area?

44π in²

28π in²

16π in²

88π in²

✏️ Part 2: Short Answer — Show your work

5. A closed wooden box is 2 ft long, 1.5 ft wide, and 1 ft tall. Find the total surface area. Show your work.
6. A water tank is a closed cylinder with radius 4 ft and height 10 ft. Find the surface area (include top and bottom). Give your answer in exact form and as a decimal (one decimal place).
7. A right cone has radius 5 in and vertical height 12 in. Find the total surface area. (First find the slant height.)
8. A label wraps around the side of a soda can (radius 2 in, height 6 in). How much label paper is needed (lateral surface area)? State units.

🔎 Extension & Reflection

Extension: Create one real-world problem involving a composite solid (combine two solids) and calculate its total surface area. Show full work.

Reflection: Write one sentence: Which formula(s) did you find easiest and which was most challenging? _________

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