After this lesson, you will be able to.
.. Solve problems involving right rectangular prisms, right triangular prisms, and right cylinders Danville works at a toy store that sells remote control cars. She wants to fit 60 car boxes into a large crate. The car boxes have dimensions of 50 CM x 30 CM x 20 CM.
The crate has dimensions of 140 CM x 120 CM x 110 CM. Predict whether all 60 boxes fit in the crate. How can you solve a problem involving volume? Centimeter cubes Centimeter grid paperEstimate the number of boxes that could fit into the crate. 3. MR.
Chapter 7 Calculate the volume of one car box and the volume of the crate described above. 2. 268 Model the problem. A) On Centimeter grid paper, draw a rectangle to model the bottom of the crate.
What measurements did you use? B) Using Centimeter cubes, make a model of the car box. How did you arrange the cubes? C) Inside the rectangle you drew on grid paper, trace around your model of the box repeatedly to snow now you could place ten Doses on How many boxes did you draw?How many layers of boxes will fill the crate? ten Diatom row In ten crate. ) How many boxes will you fit into the crate altogether? D) Compare your answers to #3 with those of your classmates. What was the greatest number of boxes that fit into the crate? B) Could you arrange your boxes differently to improve the modeled number of boxes that would fit in the crate? Explain.
Reflect on Your Findings 5. How did the estimated number of boxes compare with the modeled number of boxes that would fit in the crate?Explain any differences. Example 1: Solve a Problem Involving Right Triangular Prisms Marcus is making a display of packages of Prism Chocolates in his candy shop. He will stack 64 packages to form a shape that is a triangular prism, using eight packages in the bottom layer. What is the volume of the display? Show your thinking. ATE co o CHI 20 CM 5.
6 CM 7. 4 Solving Problems Involving Prisms and Cylinders MR. Strategies Draw a Diagram Solution The packages are triangular prisms.
