# Lesson 18

Surface Area of a Cube

### Problem 1

1. What is the volume of a cube with edge length 8 in?

2. What is the volume of a cube with edge length $$\frac 13$$ cm?

3. A cube has a volume of 8 ft3. What is its edge length?

### Solution

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### Problem 2

1. What three-dimensional figure can be assembled from this net?

2. 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.

### Solution

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### Problem 3

1. Draw a net for a cube with edge length $$x$$ cm.

2. What is the surface area of this cube?

3. What is the volume of this cube?

### Solution

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### Problem 4

Here is a net for a rectangular prism that was not drawn accurately.

1. Explain what is wrong with the net.
2. Draw a net that can be assembled into a rectangular prism.
3. Create another net for the same prism.

### Solution

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(From Unit 1, Lesson 14.)

### Problem 5

State whether each figure is a polyhedron. Explain how you know.

### Solution

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(From Unit 1, Lesson 13.)

### Problem 6

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? Explain your reasoning.

### Solution

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(From Unit 1, Lesson 12.)