Determine the Volume of Rectangular Prisms

6.GR.2 · Unit 5 · Lesson 5

Name   Period

Objectives / Objetivos

Content Objective: I can find the volume of a rectangular prism with whole-number edges using length × width × height.

Language Objective: I can explain my work using the words volume, rectangular prism, cubic units, and edge.

Key Idea / Idea clave

Volume of Rectangular Prisms (Whole Numbers). Formula: V = Length × Width × Height = Base Area × Height (V = l · w · h = B · h). 1. Identify the length, width, and height of the box. 2. Multiply base area (l × w) by height (h). 3. Label answer in cubic units (e.g. in³, cm³, ft³)

I Notice / Observo

  • What three measurements do you need to find the volume of a box?
  • What does volume tell us about a container?

I Wonder / Me pregunto

  • If two containers have the same volume, must they have the same shape?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Volume with Whole-Number Edges
Volumen con aristas de números enteros		The number of unit cubes inside a rectangular prism. Formula: V = l × w × h.
La cantidad de cubos unitarios dentro de un prisma rectangular. Fórmula: V = l × w × h.
Volume
Volumen		How much space is inside a solid shape.
Cuánto espacio hay dentro de una figura sólida.
Rectangular prism
Prisma rectangular		A solid box shape with six flat rectangle sides.
Una figura sólida en forma de caja con seis lados rectangulares.
Cubic units
Unidades cúbicas		The units used to measure space inside, like cubic inches.
Las unidades para medir el espacio interior, como pulgadas cúbicas.
Length, width, height
Largo, ancho, altura		How long, how wide, and how tall a box is.
Qué tan largo, ancho y alto es una caja.
Net
Plantilla (desarrollo plano)		A flat shape that folds up into a solid.
Una figura plana que se dobla y forma un sólido.

Practice Preview / Vista previa de práctica

  1. What is the volume of a rectangular prism with l = 7 in, w = 3 in, h = 4 in?
    1. 84 in³
    2. 14 in³
    3. 84 in²
    4. 42 in³
  2. Complete the table. Find the missing dimension or volume for each time capsule.
  3. Two storage bins: Bin A is 8 × 6 × 5 inches. Bin B is 9 × 4 × 7 inches. Which holds more and by how much?
    1. Bin B by 12 in³
    2. Bin A by 12 in³
    3. Bin B by 24 in³
    4. They hold the same
  4. Find the Volume Error
    1. Step 1: Dimensions — l = 9 ft, w = 4 ft, h = 6 ft
    2. Step 2: Formula — V = l × w × h
    3. Step 3: Calculate — V = 9 × 4 × 6 = 9 × 10 = 90 ft³
    4. Step 4: Answer — Volume = 90 ft³

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: