Lesson 18: Practice Problems
Problem 1
What is the volume of a cube with edge length 8 in?
What is the volume of a cube with edge length
cm? A cube has a volume of 8 ft³. What is its edge length?
Problem 2
What three-dimensional figure can be assembled from this net?
If each square has a side length of 61 cm, write an expression for the surface area and another for the volume of the figure.
Problem 3
Draw a net for a cube with edge length
cm. What is the surface area of this cube?
What is the volume of this cube?
Problem 4 From Unit 1 Lesson 14
Here is a net for a rectangular prism that was not drawn accurately.
Explain what is wrong with the net.
Draw a net that can be assembled into a rectangular prism.
Create another net for the same prism.
Problem 5 From Unit 1 Lesson 13
State whether each figure is a polyhedron. Explain how you know.
Problem 6 From Unit 1 Lesson 12
Here is Elena’s work for finding the surface area of a rectangular prism that is 1 foot by 1 foot by 2 feet.
She concluded that the surface area of the prism is 296 square feet. Do you agree with her conclusion? Explain your reasoning.