We included HMH Into Math Grade 5 Answer Key PDF Module 5 Lesson 2 Understand Volume to make students experts in learning maths.
HMH Into Math Grade 5 Module 5 Lesson 2 Answer Key Understand Volume
I Can use unit cubes to find the volume of a right rectangular prism.
Spark Your Learning
A toy company’s engineers determine that the best way to package number cubes with a 1-unit length into a single box is to stack them in the shape of a right rectangular prism. How many different kinds of right rectangular prisms could this number of cubes be stacked in?
Describe the different right rectangular prisms.
Explanation:
Given A toy company’s engineers determine that the best way to package number cubes with a 1-unit length into a single box is to stack them in the shape of a right rectangular prism. Different kinds of right rectangular prisms could this number of cubes are
4 X 4 X 3 = 48 cubes be stacked in are
4 X 3 X 4 = 48 cubes,
3 X 4 X 4 = 48 cubes,
2 X 8 X 3 = 48 cubes,
3 X 2 X 8 = 48 cubes,
2 X 6 X 4 = 48 cubes,
4 X 2 X 6 = 48 cubes,
6 X 4 X 2 = 48 cubes,
6 x 2 X 4 = 48 cubes.
Turn and Talk Which right rectangular prism do you think would be the best for packaging the number cubes? Give reasons to support your answer.
Answer:
6 units X 4 units X 2 units,
Explanation:
I think it would be the best for packaging the number cubes as 6 units X 4 units X 2 units because base should be bigger than width and height, then width and then height so that it can be best fit for packaging.
Build Understanding
1. The picture shows a box designed to pack game cubes. Each game cube is the size of a unit cube.
A. How many game cubes can be packed into the bottom layer of the box with no gaps or overlaps? Explain how you know.
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B. How many layers of game cubes can be packed into the box? How do you know?
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C. How many game cubes can be packed so the box is full and there are no gaps or overlaps?
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D. The volume of the box can be found by finding the number of game cubes it takes to fill the box with no gaps or overlaps. Since each game cube is the size of a unit cube, what is the volume of the box in cubic units?
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Answer:
A. 24 cubes,
B. 4 layers, Height is 4 units,
C. 96 cubes,
D. 96 cubic units,
Explanation:
Given picture shows a box designed to pack game cubes.
Each game cube is the size of a unit cube.
Picture has volume 8 units X 3 units X 4 units,
A. Game cubes can be packed into the bottom layer of the box with no gaps or overlaps are 8 units X 3 units X 1 units = 24 cubes,
B. Number of layers of game cubes can be packed into the box are 4, as height is of 4 units,
C. Number of game cubes can be packed so the box is full and there are no gaps or overlaps are if I count I have 96 cubes,
D. The volume of the box can be found by finding the number of game cubes it takes to fill the box with no gaps or overlaps. Since each game cube is the size of a unit cube,
So the volume of the box in cubic units is as length we have 8 cubes, width 3 cubes and height 4 cubes in total volume is 8 units X 3 units X 4 units = 96 cubic units.