Determine the Volume of Rectangular Prisms
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 / Término | Definition / 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
Read each task. Show your work in the spaces provided and explain how you know.
1. What is the volume of a rectangular prism with l = 7 in, w = 3 in, h = 4 in?
- A 14 in³
- B 42 in³
- C 84 in³
- D 84 in²
Answer:
2. Complete the table. Find the missing dimension or volume for each time capsule.
Complete each empty cell. Show your reasoning below.
| Capsule | Length | Width | Height | Volume |
|---|---|---|---|---|
| Capsule X | 9 in | 5 in | 2 in | |
| Capsule Y | 6 ft | 4 ft | 168 ft³ | |
| Capsule Z | 12 cm | 5 cm | 360 cm³ |
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?
- A Bin B by 12 in³
- B Bin A by 12 in³
- C Bin B by 24 in³
- D They hold the same
Answer:
4. Find the Volume Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: