Volume of Rectangular Prisms

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

Language Objective: I can explain my work using the words volume, rectangular prism, dimensions, and base area.

📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.

✏️ Fill in each blank as we go. Use the Word Bank to help you.

📚 Word Bank — fill each blank with the best word

👆 Tap any word to see what it means and a picture.

Level 3: try the blanks from memory first, then check the bank.

1The amount of space inside a three-dimensional solid is its .
2A solid with six rectangular faces is a .
3The unit used to measure volume is .
4The measurements of length, width, and height of a solid are its .
5A flat pattern that folds into a solid is a .
6The area of the bottom face of a prism, multiplied by height to find volume, is the .

Write About the Math Guided ESOL writing

Use the support level you need. Every level answers the same math question.

1. Understand the Question

compare

Capsule A (2 × 1.5 × 1) and Capsule B (3 × 1 × 1) both have a volume of 3 ft³. How did your multiplication produce the same volume from different dimensions?

Your job: Answer the question. Use math evidence. Explain how the evidence proves your answer.Responde la pregunta. Usa evidencia matemática. Explica cómo la evidencia demuestra tu respuesta.

2. Plan Your Math Words

Check at least two words you will use.

Volume — How much space is inside a solid shape.Volumen — Cuánto espacio hay dentro de una figura sólida. Rectangular prism — A solid box shape with six flat rectangle sides.Prisma rectangular — Una figura sólida en forma de caja con seis lados rectangulares. Cubic units — The units used to measure space inside, like cubic inches.Unidades cúbicas — Las unidades para medir el espacio interior, como pulgadas cúbicas. Dimensions — How long, how wide, and how tall a shape is.Dimensiones — Qué tan largo, ancho y alto es una figura. Base area — The area of the bottom of a solid. Volume = base area × height.Área de la base — El área del fondo de un sólido. Volumen = área de la base × altura.

Say it first: Say your idea to a partner or quietly to yourself before you write.Di tu idea a un compañero o en voz baja antes de escribir.

Both capsules have V = ___ ft³ because ___ × ___ × ___ = ___ × ___ × ___.Ambas cápsulas tienen V = ___ ft³ porque ___ × ___ × ___ = ___ × ___ × ___.

3. Build Your Explanation

Model the parts: This model shows the parts of an explanation. It does not answer your writing question.

Claim: You still multiply length × width × height even when an edge is a fraction or decimal.

Evidence: Students explain the formula stays the same (V = l × w × h = 2 × 1.5 × 1 = 3 ft³) and that a fractional edge just means multiplying with a fraction or decimal.

Reasoning: This evidence connects the definition of volume to the mathematical claim.

Start

Most language support

Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.

Both capsules have V = ___ ft³ because ___ × ___ × ___ = ___ × ___ × ___.Ambas cápsulas tienen V = ___ ft³ porque ___ × ___ × ___ = ___ × ___ × ___.
The dimensions are different but the ___ is the same.Las dimensiones son diferentes pero el ___ es el mismo.

Build

Some language support

Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.

My claim is ___.Mi afirmación es ___.
I know because ___.Lo sé porque ___.
So ___.Entonces ___.

Explain

Light language support

Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.

My claim is ___.Mi afirmación es ___.
My math evidence is ___.Mi evidencia matemática es ___.
This proves ___ because ___.Esto demuestra ___ porque ___.

4. Check Your Explanation

I answered the question.Respondí la pregunta. I used math evidence: numbers, an equation, a model, or a comparison.Usé evidencia matemática: números, una ecuación, un modelo o una comparación. I explained how the evidence proves my answer.Expliqué cómo la evidencia demuestra mi respuesta. I used at least two math words.Usé por lo menos dos palabras matemáticas. I reread complete sentences and punctuation.Volví a leer mis oraciones completas y la puntuación.