Question: User: Name: Emma Date: 9-15-2025 HR: 202 1. a. What is the volume of a cube with an edge length of 8 in? 512 cubic b. What is the volume of a cube with an edge length of 1/3 cm? 1/27 c c. A cube has a volume of 8 ft³. What is its edge length? 2. a. What three-dimensional figure can be assembled from this net? A cube net is shown at center-right. b. 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. 3. a. Draw a net for a cube with an edge length of x cm. b. What is the surface area of this cube? c. What is the volume of this cube? 4. From Unit 1, Lesson 14 Here is a net for a rectangular prism that was not drawn accurately a. Explain what is wrong with the net. A rectangular-prism net is shown at bottom-right.

1. **Problem:** Find the volume of a cube with edge length $8$ inches. 2. **Formula:** The volume $V$ of a cube with edge length $s$ is given by $$V = s^3$$ 3. **Calculation:** Substitute $s=8$: $$V = 8^3 = 512$$ 4. **Answer:** The volume is $512$ cubic inches. 1. **Problem:** Find the volume of a cube with edge length $\frac{1}{3}$ cm. 2. **Formula:** Volume of cube: $$V = s^3$$ 3. **Calculation:** Substitute $s=\frac{1}{3}$: $$V = \left(\frac{1}{3}\right)^3 = \frac{1^3}{3^3} = \frac{1}{27}$$ 4. **Answer:** The volume is $\frac{1}{27}$ cubic centimeters. 1. **Problem:** Find the edge length of a cube with volume $8$ ft$^3$. 2. **Formula:** Volume of cube: $$V = s^3$$ 3. **Calculation:** Given $V=8$, solve for $s$: $$s^3 = 8$$ Take cube root: $$s = \sqrt[3]{8} = 2$$ 4. **Answer:** The edge length is $2$ feet.