Represent Three-Dimensional Figures in Two Dimensions

6.GR.4 · Unit 5 · Lesson 6

Name   Period

Objectives / Objetivos

Content Objective: I can find the surface area of a solid by using its net.

Language Objective: I can explain my work using the words surface area, net, face, and two-dimensional.

Key Idea / Idea clave

Representing 3D Solids with Nets. 1. A net is a 2D flat pattern that folds into a 3D solid without overlapping. 2. Rectangular prism net has 6 rectangular faces in 3 congruent opposite pairs. 3. Surface Area is the total sum of the areas of all flat faces on the net

I Notice / Observo

  • How many faces does a rectangular prism have?
  • What shapes do you see when the box is unfolded?

I Wonder / Me pregunto

  • Is there more than one way to unfold a box into a net?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Surface Area Using Nets
Área de superficie usando redes		The total area of all the faces of a solid. A net unfolds the solid flat so you can see every face and add their areas.
El área total de todas las caras de un cuerpo. Una plantilla lo despliega para ver cada cara y sumar sus áreas.
Surface area
Área de superficie		The total area of all the flat sides of a solid.
El área total de todos los lados planos de un sólido.
Net
Plantilla (desarrollo plano)		A flat shape that folds up into a solid.
Una figura plana que se dobla y forma un sólido.
Face
Cara		One flat side of a solid shape.
Un lado plano de una figura sólida.
Two-dimensional
Bidimensional		A flat shape with length and width, but no thickness.
Una figura plana con largo y ancho, pero sin grosor.
Edge
Arista		The line where two flat sides of a solid meet.
La línea donde se unen dos lados planos de un sólido.

Practice Preview / Vista previa de práctica

  1. A rectangular prism has l = 6 in, w = 4 in, h = 2 in. What is its surface area?
    1. 88 in²
    2. 48 in²
    3. 88 in³
    4. 44 in²
  2. Find the surface area of each time capsule box using its net.
  3. A cube has edges of 5 cm. What is its surface area?
    1. 150 cm²
    2. 125 cm²
    3. 150 cm³
    4. 30 cm²
  4. Find the Surface Area Error
    1. Step 1: Dimensions — l = 10 in, w = 4 in, h = 3 in
    2. Step 2: Formula — SA = 2lw + 2lh + 2wh
    3. Step 3: Calculate — SA = 2(10×4) + 2(10×3) + (4×3) = 80 + 60 + 12 = 152 in²
    4. Step 4: Answer — Surface Area = 152 in²

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

Reflection / Reflexión

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