Free Printable WorksheetMathGrade 6Math Curriculum6.G.A.4

6.87 Use Nets to Find Surface Area of Prisms Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.87 Use Nets to Find Surface Area of Prisms. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly uses the net to compute total surface area of the prism? (CCSS 6.G.A.4; CA 6.G.A.4; MA 6.G.A.4; NY NY-6.G.4; TX 19 TAC §111.26(b)(8)(C)-(D); FL MA.6.GR.2.4; VA 6.MG (Surface Area Extensions))

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 6

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 6.87 Use Nets to Find Surface Area of Prisms skill assessments:

Problem 1Difficulty: Mastery

The net for a regular hexagonal prism display has two congruent hexagonal bases and rectangular side faces. Each hexagonal base has area 54 square in, and the side lengths around the base are 6 in, 6 in, 6 in, 6 in, 6 in, 6 in. The prism length is 8 in. Which answer choice correctly finds the total surface area?

A2(54) + 8(6 + 6 + 6 + 6 + 6 + 6) = 396 square in

B54 + 8(6 + 6 + 6 + 6 + 6 + 6) = 342 square in

C2(54) + 8(6 + 6 + 6 + 6 + 6) = 348 square in

D54 x 8 = 432 cubic in

Solution & Explanation:The two congruent hexagonal bases add to 2(54). The rectangular faces add to the prism length times the base perimeter: 8 x 36. The total is 396 square in.

Problem 2Difficulty: Mastery

A net of an octagonal prism for an octagonal column model is shown. Each octagonal base has area 120 square cm, and the base perimeter is 44 cm. The prism length is 6 cm. Which answer choice correctly uses the net to compute total surface area?

A120 + 6(44) = 384 square cm

B2(120) + 6(38.5) = 471 square cm

C2(120) + 6(44) = 504 square cm

D120 x 6 = 720 cubic cm

Solution & Explanation:The two congruent octagonal bases add to 2(120). The rectangular faces add to the prism length times the base perimeter: 6 x 44. The total is 504 square cm.

Problem 3Difficulty: Mastery

A net of a trapezoidal prism for a large trapezoidal prism case is shown. Each trapezoid has bases 9 ft and 17 ft, height 8 ft, and legs 10 ft and 10 ft. The prism length is 11 ft. Which answer choice correctly uses the net to compute total surface area?

A1/2 x (9 + 17) x 8 + 11(9 + 17 + 10 + 10) = 610 square ft

B2(1/2 x (9 + 17) x 8) + 11(9 + 17 + 10 + 10) = 714 square ft

C2(1/2 x (9 + 17) x 8) + 11(9 + 17) = 494 square ft

D1/2 x (9 + 17) x 8 x 11 = 1144 cubic ft

Solution & Explanation:The net has two trapezoid bases, each with area 1/2 x (9 + 17) x 8 = 104. The four rectangles add to 11 times the trapezoid perimeter 46. Total surface area is 714 square ft.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.G.A.4 (Use Nets to Find Surface Area of Prisms).