**Warmup**

**Activity #1**

**Find Area of a Triangle with Fractional Lengths & Missing Side Lengths.**

- Study the diagrams below and answer the questions that follow.

Find the area of Triangle A in square centimeters. Show your reasoning.

The area of Triangle B is 8 square units. Find the length of b. Show your reasoning.

The area of Triangle C is 54/5 square units. What is the length of h? Show your reasoning.

**Activity #2**

**Finding Missing Sides Lengths of Similar Triangles with Decimal Lengths.**

- Use cubes or the applet below to help you answer the following questions.â€‹

(1.) How many cubes with edge lengths of inch are needed to fill the cube below?

(2.) What is the volume in cubic inches, of a cube with edge lengths of inch? Explain or show your reasoning.

**Activity #3**

**Find Volume of a Prism by Counting Cubes.**

- Use cubes or the applet to help you answer the following questions.â€‹

(1.) Four cubes are piled in a single stack to make a prism. Each cube has an edge length of Â½ inch. Sketch the prism, and find its volume in cubic inches.

(2.) For each prism, record in the table how many -inch cubes can be packed into the prism.

**Challenge #1**

The area of Triangle B is 8 square units. Find the length of b. Show your reasoning.

**Challenge #2**

**Challenge #3**

Which expression can be used to find how many cubes with edge length of 13 unit fit in a prism that is 5 units by 5 units by 8 units?

**Quiz Time**

https://www.ixl.com/math/grade-5/perimeter-with-fractional-side-lengths

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