Wyoming Math 5.MD.5

5.MD.5 is a cluster heading. These are the individual standards under it.

• 5.MD.5a

  Find the volume of a right rectangular prism with whole number dimensions by multiplying them. Show that this volume is the same as when counting unit cubes.

01

What Students Need to Do

Students find how many unit cubes fit in one layer of a rectangular prism, then multiply by the number of layers. They use length × width × height or base area × height to find volume in cubic units.

02

What Mastery Looks Like

Given a 4 by 3 by 2 prism, a student finds 12 cubes per layer and 24 cubes total. They can explain why both formulas give 24 cubic units and use that result to solve a box-filling problem.

03

Common Misconceptions

Students may add the edge lengths or multiply only length and width, finding area instead of volume. Some count only the cubes they can see or label volume in square units. Others treat base area as an edge length.

04

How to Assess It

A box is 4 cm long, 3 cm wide, and 2 cm high. Draw its layers, then find its volume using both formulas and label the units.

1. 01

   Build a 3 by 2 by 4 prism with snap cubes, count one layer, then check the total by counting every cube.

2. 02

   Show two 4 by 3 layers and ask students to explain why 4 × 3 × 2 matches 12 + 12.

3. 03

   Give pairs dimension cards labeled 2×3×4, 2×5×3, and 4×4×2; have them match each to a layer count and volume.

4. 04

   Give students a 6 cm by 4 cm by 3 cm gift-box diagram and ask how many 1 cm cubes fit inside.

• 7.G.6

  Solve real-world and mathematical problems involving:

• 8.F.4

  Apply the concepts of linear functions to real-world and mathematical situations.

• 7.SP.1

  Solve real-world and mathematical problems involving: