Free Printable WorksheetMathGrade 7Math Curriculum7.G.B.6

7.111 Volume using base area times height for prisms Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.111 Volume using base area times height for prisms. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.111 Volume using base area times height for prisms - In multiple-choice items, students select the correct volume of a prism and choose the correct base area and height used in the calculation. (CCSS 7.G.B.6; TX 7.9(A))

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 7

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 7.111 Volume using base area times height for prisms skill assessments:

Problem 1Difficulty: Mastery

A diagram shows a prism base made from an 18 in by 5 in rectangle and a trapezoid with parallel sides 8 in and 14 in and trapezoid height 6 in. The prism height is 4.25 in. Which option gives the correct base area, height, and volume?

ABase area = 156 square in; height = 4.25 in; volume = 160.25 cubic in

BBase area = 156 square in; height = 4.25 in; volume = 663 cubic in

CBase area = 156 square in; height = 6 in; volume = 936 cubic in

DBase area = 222 square in; height = 4.25 in; volume = 943.5 cubic in

Solution & Explanation:The rectangle area is 18 × 5 = 90 square in. The trapezoid area is ((8 + 14) ÷ 2) × 6 = 66 square in, so the base area is 156 square in. Then use V = B × h: 156 × 4.25 = 663 cubic in. The correct option lists the base area, prism height, and volume.

Problem 2Difficulty: Mastery

A tilted triangular prism has a triangular base with base 24 cm, perpendicular height 10 cm, and a side labeled 26 cm. The prism height is 3.75 cm. Which option gives the correct base area, height, and volume?

ABase area = 120 square cm; height = 3.75 cm; volume = 123.75 cubic cm

BBase area = 120 square cm; height = 26 cm; volume = 3120 cubic cm

CBase area = 120 square cm; height = 3.75 cm; volume = 450 cubic cm

DBase area = 312 square cm; height = 3.75 cm; volume = 1170 cubic cm

Solution & Explanation:Use the perpendicular triangle height, not the side length: (24 × 10) ÷ 2 = 120 square cm. Then use V = B × h: 120 × 3.75 = 450 cubic cm. The correct option lists the base area, prism height, and volume.

Problem 3Difficulty: Mastery

A diagram shows a prism with a composite base made from three rectangles: 4 yd by 5 yd, 3 yd by 7 yd, and 6 yd by 2 yd. The prism height is 6.4 yd. Which option gives the correct base area, height, and volume?

ABase area = 53 square yd; height = 6.4 yd; volume = 59.4 cubic yd

BBase area = 53 square yd; height = 7 yd; volume = 371 cubic yd

CBase area = 74 square yd; height = 6.4 yd; volume = 473.6 cubic yd

DBase area = 53 square yd; height = 6.4 yd; volume = 339.2 cubic yd

Solution & Explanation:Add the three rectangle areas: 4 × 5 + 3 × 7 + 6 × 2 = 20 + 21 + 12 = 53 square yd. Then use V = B × h: 53 × 6.4 = 339.2 cubic yd. The correct option lists the base area, prism height, and volume.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.G.B.6 (Primary standard selected for prompt fields in this prompt cell: CCSS 7.G.B.6. Skill statement in this prompt cell: In multiple-choice items, students select the correct volume of a prism and choose the correct base area and height used in the calculation. Associated standards listed with this skill in this prompt cell: CCSS 7.G.B.6; TX 7.9(A). Use this prompt-provided wording as the supporting standard description for this workflow.).