Volume of Rectangular Prisms

6.GR.2 · Unit 5 · Lesson 10

Name   Period

Objectives / Objetivos

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.

Key Idea / Idea clave

Volume of Rectangular Prisms with Fractional Edges. Formula: V = l × w × h = B × h. 1. Convert mixed numbers to improper fractions before multiplying. 2. Multiply numerators across, multiply denominators across: V = (l · w · h). 3. Simplify the fraction and label with cubic units

I Notice / Observo

  • What are the three measurements of the time capsule?
  • What does volume measure — length, area, or space inside?

I Wonder / Me pregunto

  • What if we made the capsule taller but narrower — would the volume change?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Volume of Rectangular Prisms
Volumen de prismas rectangulares		The space inside a rectangular prism. Formula: V = Bh = l × w × h.
El espacio dentro de un prisma rectangular. Fórmula: V = Bh = 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.
Dimensions
Dimensiones		How long, how wide, and how tall a shape is.
Qué tan largo, ancho y alto es una figura.
Base area
Área de la base		The area of the bottom of a solid. Volume = base area × height.
El área del fondo de un sólido. Volumen = área de la base × altura.

Practice Preview / Vista previa de práctica

  1. What is the volume of a rectangular prism with l = 4 in, w = 3 in, h = 5 in?
    1. 60 in³
    2. 12 in³
    3. 60 in²
    4. 24 in³
  2. A shipping container is 8 ft long, 4 ft wide, and 3 ft tall. It is half full of boxes.
  3. Find the missing dimension or volume for each container.
  4. Find the Volume Error
    1. Step 1: Dimensions — l = 5 m, w = 3 m, h = 2.5 m
    2. Step 2: Formula — V = l × w × h
    3. Step 3: Calculate — V = 5 × 3 × 2.5 = 5 × 5.5 = 27.5 m³
    4. Step 4: Answer — Volume = 27.5 m³

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

Reflection / Reflexión

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