Free Printable WorksheetMathGrade 8Math Curriculum7.G.B.6

8.144 Surface Area of Triangular Prisms Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.144 Surface Area of Triangular Prisms. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.144 Surface Area of Triangular Prisms - Which surface area is correct for the triangular prism described? (CCSS 7.G.B.6; CA 7.G.B.6; MA 7.G.B.6)

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Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

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Below are sample questions representative of the exercises included on this worksheet and related 8.144 Surface Area of Triangular Prisms skill assessments:

Problem 1Difficulty: Hard
The vertices of one triangular base of a prism are (0, 0), (20, 0), and (0, 21). The prism extends 7 units perpendicular to the base. What is the surface area?
Solution & Explanation:The triangle is right because two sides lie on the axes. Its area is 1/2 x 20 x 21 = 210. The third side is sqrt(202 + 212) = 29, so the perimeter is 70. Lateral area = 70 x 7 = 490. Total surface area = 2 x 210 + 490 = 910 square units.
Problem 2Difficulty: Hard
A shelf support is shaped like a triangular prism. Its triangular ends are isosceles with base 40 in and altitude 21 in. If the prism is 10.5 in long, what is the total surface area in in2?
Solution & Explanation:Split the base in half: 40 / 2 = 20. Use the Pythagorean theorem to find each equal side: sqrt(202 + 212) = 29. One triangular base has area 1/2 x 40 x 21 = 420. The triangle perimeter is 40 + 29 + 29 = 98, so the lateral area is 98 x 10.5 = 1029. Then 2 x 420 + 1029 = 1869 in2.
Problem 3Difficulty: Hard
The cross-section of a prism is a right triangle with leg lengths 7.5 cm and 10 cm. The prism is 11.2 cm long. What is the surface area?
Solution & Explanation:First find the missing third side of the right triangle: sqrt(7.52 + 102) = 12.5. One triangular base has area 1/2 x 7.5 x 10 = 37.5. The perimeter of the triangle is 7.5 + 10 + 12.5 = 30, so the lateral area is 30 x 11.2 = 336. Add both triangular bases: 2 x 37.5 + 336 = 411 cm2.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 7.G.B.6 (Primary standard selected for prompt fields: CCSS 7.G.B.6. Skill statement: Which surface area is correct for the triangular prism described? Associated standards listed with this skill: CCSS 7.G.B.6; CA 7.G.B.6; MA 7.G.B.6. Use this embedded wording as the best available supporting standard description for this workflow.).

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