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Grade 11 Surface Area Worksheet

This worksheet covers calculating the surface area of various 3D shapes, including prisms, cylinders, pyramids, cones, and spheres.

Grade 11 Math GeometryAreaSurface Area
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3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSG.GMD.B.4CCSS.MATH.CONTENT.HSG.MG.A.1

Topics

Grade 11MathGeometrySurface AreaPrismsCylindersPyramidsConesSpheres
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Grade 11 Surface Area Practice

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Read each question carefully and calculate the surface area of the given three-dimensional shapes. Show all your work for full credit. Use π ≈ 3.14 where necessary.

1. Calculate the surface area of a rectangular prism with length 8 cm, width 5 cm, and height 3 cm.

2. Find the surface area of a triangular prism where the triangular base has a base of 6 cm and a height of 4 cm, and the prism's length is 10 cm. Assume the triangle is equilateral.

3. A cylindrical can has a radius of 4 cm and a height of 12 cm. What is its total surface area?

h=12cm r=4cm

4. If a cylinder has a diameter of 10 meters and a height of 7 meters, what is its lateral surface area?

5. A square pyramid has a base side length of 6 inches and a slant height of 5 inches. Calculate its total surface area.

6. Find the surface area of a cone with a radius of 3 cm and a slant height of 8 cm.

7. What is the surface area of a sphere with a radius of 7 cm?

a

153.86 cm²

b

615.44 cm²

c

307.72 cm²

d

1230.88 cm²

8. The formula for the surface area of a sphere is  .

9. A cube has   equal faces.

10. The lateral surface area of a cylinder does not include the area of its  .