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10th grade Nets, and views of a solid from the top, front and side worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Nets, and views of a solid from the top, front and side

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari's solid has 4 triangles and 1 square as its faces. Each edge is where two faces meet. Use V − E + F = 2. How many vertices does it have?

  2. Bo's solid has 2 triangles and 3 rectangles as its faces. Each edge is where two faces meet. Use V − E + F = 2. How many vertices does it have?

  3. Esme's solid has 2 hexagons and 6 rectangles as its faces. Each edge is where two faces meet. Use V − E + F = 2. How many vertices does it have?

  4. Jun flattens a can's label into a rectangle. It is 14π cm long and 8 cm tall, and it wraps once around the can. What is the radius of the can?

    • 8 cm
    • 28 cm
    • 14 cm
    • 7 cm

  5. Luz flattens a can's label into a rectangle. It is 10π cm long and 6 cm tall, and it wraps once around the can. What is the radius of the can?

    • 5 cm
    • 10 cm
    • 20 cm
    • 6 cm

  6. Milo has four shapes, each made of 6 squares joined edge to edge. Rows are numbered from the top, columns from the left. Which shape folds into a cube?

    • row 1: column 1; row 2: columns 1 to 5
    • row 1: columns 1 to 4; row 2: columns 2 to 3
    • row 1: column 2; row 2: columns 1 to 4; row 3: column 1
    • row 1: columns 1 to 4; row 2: columns 1 and 4

  7. Noah has four shapes, each made of 6 squares joined edge to edge. Rows are numbered from the top, columns from the left. Which shape folds into a cube?

    • row 1: columns 1 to 4; row 2: columns 2 and 4
    • row 1: columns 1 to 3; row 2: columns 1 to 2; row 3: column 2
    • row 1: columns 1 to 5; row 2: column 3
    • row 1: columns 3 to 5; row 2: columns 1 to 3

  8. Pia has four shapes, each made of 6 squares joined edge to edge. Rows are numbered from the top, columns from the left. Which shape folds into a cube?

    • row 1: columns 1 to 4; row 2: column 4; row 3: column 4
    • row 1: column 2; row 2: columns 1 to 4; row 3: column 4
    • row 1: columns 1 to 3; row 2: columns 2 to 3; row 3: column 2
    • row 1: column 4; row 2: columns 1 to 5

  9. Tala sees a mystery solid standing on a table. Its front view is an isosceles triangle, and its top view is a square with both diagonals drawn. Which solid is it?

    • Triangular pyramid
    • Cube
    • Square pyramid
    • Cone

  10. Zee sees a mystery solid standing on a table. Its front view is a rectangle, and its top view is a triangle. Which solid is it?

    • Triangular prism
    • Cylinder
    • Triangular pyramid
    • Square prism
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10th grade Nets, and views of a solid from the top, front and side worksheet – printable
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About this worksheet

Nets, and views of a solid from the top, front and side. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the vertices of a solid from its faces, using that each edge is shared by two faces and V − E + F = 2.
  • I can tell whether a shape of six squares folds into a cube, and which solid two views describe.
  • I can name the cross-section of a solid cut by a plane, and find its size with similar figures or the Pythagorean theorem.
  • I can say what solid a flat shape sweeps out when it spins, and find its volume.
  • I can say when two views do not fix a building, and use Cavalieri's principle: equal slices at every height give equal volumes.

Standard: IXL parity (Nov 11) (nearest: G-GMD.B.4; 6.G.A.4)

Words to know

net: A solid unfolded flat into its faces

view: What a solid looks like from the top, front or side

face, edge, vertex: A flat surface; where two faces meet; a corner

cross-section: The flat shape you see where a plane cuts a solid

solid of revolution: The solid made by spinning a flat shape about a line

Cavalieri's principle: Solids of equal height with equal slice areas at every height have equal volume

Common mistakes

Your child added up the sides of every face and used that as the number of edges. Each edge is shared by two faces, so halve the total first.

Your child stopped before adding 2 in V = E − F + 2.

Your child found the edges and stopped.

What to say

Ask: what does the formula say V − E + F equals?

Ask: which number does the question ask for, edges or vertices?

Questions parents ask

What is the most common mistake with nets, and views of a solid from the top, front and side?

Your child added up the sides of every face and used that as the number of edges. Each edge is shared by two faces, so halve the total first.

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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