Day 28 of 180Week 6 of 36, WednesdayFirst quarter

Fill the box

🔢 Math💡 New today⏱️ about 30 minutes

Fill a box with cubes, count the base layer, count the layers, and derive length × width × height.

Something new, or a fresh angle on it. Expect this one to take the full time.

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Today is rung 1 of 6 on this topic

Volume of solid figures

Can do: Finds the volume of a rectangular prism by counting cubes and by multiplying length × width × height.

Why it matters

It's the first three-dimensional measurement and it makes cubic units — and cubed notation — concrete.

What it looks like when it's wobbly

Uses area formulas on 3-D shapes, or gives the answer in square units.

⏱️ Two-minute check

"A box is 4 by 3 by 2. What's its volume? What are the units?"

Solid looks like: 24 cubic units, with cubic said explicitly.

The full activity for this topic · 20 minutes

Fill the Box

Sugar cubes, dice or LegoA small box
  1. 1Fill the base of a box with cubes and count them — that's the area of the base.
  2. 2Count how many layers fit. Volume is base × layers.
  3. 3Write the formula only after they've seen it: length × width × height.
  4. 4Measure a real box and calculate before filling it, then check.
  5. 5Compare two boxes with the same volume but different shapes.

If it's too hard

Count the cubes physically without a formula.

If it's too easy

Find a missing dimension given the volume, or the volume of two prisms joined together.

Say this

"How many fit on the bottom layer? How many layers? That's the whole formula."

Math practice

Week 6 at a glance

  1. Monday · Day 26

    🔢 Math

    How many quarters in 3?

  2. Tuesday · Day 27

    📖 Reading

    Rewrite it literally

  3. Wednesday · Day 28

    🔢 Math

    Fill the box

  4. Thursday · Day 29

    ✏️ Writing

    Body paragraph one

  5. Friday · Day 30

    🌍 Social Studies

    Whose story is missing?

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