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

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

1. 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?

   5 vertices
2. 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?

   6 vertices
3. 3.

   Kira flattens a can's label into a rectangle. It is 18π cm long and 12 cm tall, and it wraps once around the can. What is the radius of the can?

   • 18 cm
   • 9 cm
   • 12 cm
   • 36 cm
4. 4.

   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?

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

   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 2; row 2: columns 1 to 4; row 3: column 1
   • row 1: columns 1 to 4; row 2: columns 1 and 4
   • row 1: columns 1 to 4; row 2: columns 2 to 3
   • row 1: column 1; row 2: columns 1 to 5
6. 6.

   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 3 to 5; row 2: columns 1 to 3
   • row 1: columns 1 to 5; row 2: column 3
7. 7.

   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: columns 1 to 3; row 2: columns 2 to 3; row 3: column 2
   • row 1: column 4; row 2: columns 1 to 5
   • row 1: column 2; row 2: columns 1 to 4; row 3: column 4
8. 8.

   Ren sees a mystery solid standing on a table. Its front view is an isosceles triangle, and its top view is a circle with a dot at its center. Which solid is it?

   • Square pyramid
   • Cylinder
   • Cone
   • Triangular pyramid
9. 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?

   • Square pyramid
   • Triangular pyramid
   • Cone
   • Cube
10. 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 pyramid
    • Cylinder
    • Square prism
    • Triangular prism