Solids: parts, cubes and cuts

Counting a solid's faces, edges and vertices, filling one with unit cubes, and the shape left behind by a cut — parallel to the base, and straight down the middle.

4 sheets · 24 questions · one answer key · 5 pages

Recommended for grades 5–7

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Faces, edges and vertices Sheet 1 of 4

Solid partsFaces, edges and vertices

Name: Date:

Hidden edges are dashed. Answer the question under each solid.

1How many edges?

2How many vertices?

3How many faces?

4How many edges?

5How many edges?

6How many faces?

Unit cubesSides to 5

Name: Date:

Each small cube is 1 cm³. Count the cubes in each block.

1 cm³

2 cm³

3 cm³

4 cm³

5 cm³

6 cm³

Cross-sectionsCuts parallel to the base

Name: Date:

Each solid is cut parallel to its base. Circle the face this leaves.

1cut parallel to the base TriangleRectanglePentagonHexagonCircle

2cut by a plane through its center TriangleRectanglePentagonHexagonCircle

3cut parallel to the base TriangleRectanglePentagonHexagonCircle

4cut parallel to the base TriangleRectanglePentagonHexagonCircle

5cut parallel to the base TriangleRectanglePentagonHexagonCircle

6cut parallel to the base TriangleRectanglePentagonHexagonCircle

Cross-sectionsCuts down the middle

Name: Date:

Each solid is cut straight down the middle. Circle the face it leaves.

1cut straight down through the middle TriangleRectanglePentagonHexagonCircle

2cut straight down through the middle TriangleRectanglePentagonHexagonCircle

3cut straight down through the middle TriangleRectanglePentagonHexagonCircle

4cut straight down through the middle TriangleRectanglePentagonHexagonCircle

5cut by a plane through its center TriangleRectanglePentagonHexagonCircle

6cut straight down through the middle TriangleRectanglePentagonHexagonCircle

Power Pack · Solids: parts, cubes and cutsAnswer key

Faces, edges and vertices

1. hexagonal prism, edges: 182. hexagonal prism, vertices: 123. triangular pyramid, faces (from the other two): 44. pentagonal pyramid, edges: 105. pentagonal prism, edges: 156. triangular prism, faces: 5

Counting unit cubes

1. 3 × 3 × 2: 18 cm³2. 5 × 3 × 3: 45 cm³3. 5 × 4 × 2: 40 cm³4. 2 × 2 × 2: 8 cm³5. 3 × 2 × 5: 30 cm³6. 3 × 2 × 2: 12 cm³

Cutting parallel to the base

1. 5-sided pyramid, cut parallel: Pentagon2. sphere, cut parallel: Circle3. 6-sided pyramid, cut parallel: Hexagon4. cone, cut parallel: Circle5. 3-sided prism, cut parallel: Triangle6. 6-sided prism, cut parallel: Hexagon

Cutting down the middle

1. 6-sided prism, cut down the middle: Rectangle2. cylinder, cut down the middle: Rectangle3. 5-sided prism, cut down the middle: Rectangle4. cone, cut down the middle: Triangle5. sphere, cut down the middle: Circle6. 3-sided prism, cut down the middle: Rectangle

Solids: parts, cubes and cuts

What is in the pack

The geometry track

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