Lesson 14: Practice Problems

Problem 1

Can the following net be assembled into a cube? Explain how you know. Label parts of the net with letters or numbers if it helps your explanation.

4 squares with two squares attached horizontally below the last square

Problem 2

A arrow shape made up of 2 triangles the same size attached on either side of a rectangle which is attached to two other rectangles of differing sizes.

  1. What polyhedron can be assembled from this net? Explain how you know.

  2. Find the surface area of this polyhedron. Show your reasoning.

Problem 3

Here are two nets. Mai said that both nets can be assembled into the same triangular prism. Do you agree? Explain or show your reasoning.

Two nets of irregular shapes. One is made up of 2 equilateral triangles attached to three horizontal rectangle

Problem 4 From Unit 1 Lesson 13

Here are two three-dimensional figures.

Two figure labeled A and B. A is a triangular prism with rectangular sides. B is a triangular prism with triangle sides.

Tell whether each of the following statements describes Figure A, Figure B, both, or neither.

  1. This figure is a polyhedron.

  2. This figure has triangular faces.

  3. There are more vertices than edges in this figure.

  4. This figure has rectangular faces.

  5. This figure is a pyramid.

  6. There is exactly one face that can be the base for this figure.

  7. The base of this figure is a triangle.

  8. This figure has two identical and parallel faces that can be the base.

Problem 5 From Unit 1 Lesson 12

Select all units that can be used for surface area. Explain why the others cannot be used for surface area.

  1. square meters

  2. feet

  3. centimeters

  4. cubic inches

  5. square inches

  6. square feet

Problem 6 From Unit 1 Lesson 11

Find the area of this polygon. Show your reasoning.

An image of a 7-sided polygon. The bottom side of the polygon is six units long, and extends out to a total width of 10 units, and a central height of 6 units.