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

7.113 Connecting volume to base area times height Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.113 Connecting volume to base area times height. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.113 Connecting volume to base area times height - In multiple-choice items, students select the statement that correctly explains why volume equals base area times height for a prism or cylinder. (CCSS 7.G.B.6)

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 7.113 Connecting volume to base area times height skill assessments:

Problem 1Difficulty: Mastery

An article about prism and cylinder volume needs a summary sentence. Which sentence is most accurate?

AVolume equals base perimeter times height because the outside boundary fills the solid.

BVolume equals base area times height because congruent base-shaped layers fill the solid from one base to the other.

CVolume equals base area plus height because a flat measurement and a length must be added.

DVolume equals two base areas times height because every prism and cylinder has two bases.

Solution & Explanation:The accurate summary names the key concept: same-area layers are repeated through the height to fill the solid.

Problem 2Difficulty: Mastery

A prism's base covers 57 square-unit grid cells. Each cell is the bottom of a column that is 12 units tall. Which explanation connects this grid model to volume?

AThere are 57 columns and each contains 12 cubic units, so the volume is 57 × 12 cubic units.

BThere are 12 columns and each contains 57 square units, so the height is the base area.

COnly the columns along the edge of the grid count because interior columns are not visible.

DThe grid cells measure perimeter, so they should be multiplied by the number of sides.

Solution & Explanation:The grid cells represent base area. Raising each cell through 12 units of height gives columns of cubic units, totaling B x h.

Problem 3Difficulty: Mastery

A cylinder and a cone have the same circular base area and the same height. Which statement explains why the cylinder uses V = B x h but the cone does not?

AThe cylinder has a curved surface, while the cone has no curved surface.

BThe cone has a height, so it must also use B x h exactly.

CThe cylinder uses B x h only because its base area is larger than the cone's base area.

DThe cylinder has equal circular layers all the way up, while the cone's layers shrink toward the top.

Solution & Explanation:The formula B x h matches solids with congruent parallel layers, such as cylinders and prisms. Cone layers are not congruent.

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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 statement that correctly explains why volume equals base area times height for a prism or cylinder. Associated standards listed with this skill in this prompt cell: CCSS 7.G.B.6. Use this prompt-provided wording as the supporting standard description for this workflow.).