Before their spacecraft launched, Emek and Luna needed a container for a cube-shaped supply pack with a volume of 60 cubic units. They modeled two rectangular containers with unit cubes. Container A had 5 rows of 4 cubes in each layer and 3 layers, giving a volume of 60 cubic units. Container B had 4 rows of 4 cubes in each layer and 3 layers, giving 48 cubic units. They chose Container A because it had exactly enough space for the supplies. With the cargo packed securely, they were ready for launch.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
First think about how many cubes are in one layer, then use the number of layers.
Container A has 5 rows of 4 unit cubes in each layer and 3 layers. Which calculation finds its volume?
5 + 4 + 3 = 12 cubic units5 x 4 x 3 = 60 cubic units5 x 4 + 3 = 23 cubic units5 x 3 = 15 cubic unitsCorrect! Multiplying 5 by 4 by 3 gives a volume of 60 cubic units.
Try again. Find the cubes in one layer, then multiply by the 3 layers.
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Hint
Find the difference between the space needed and the space Container B has.
The supply pack needs 60 cubic units of space. Container B has a volume of 48 cubic units. How many more cubic units would Container B need to hold the supply pack?
Correct! Container B would need 12 more cubic units of space.
Try again. Subtract 48 cubic units from the 60 cubic units needed.
Next🎉 Congrats! You got this question!
Hint
Find the cubes in one layer, then find the volume with 4 layers.
Suppose Emek adds one more layer to Container B. Each layer has 4 rows of 4 unit cubes. Would the new container have enough volume for the 60-cubic-unit supply pack?
No, because its new volume would be 52 cubic unitsNo, because its new volume would be 56 cubic unitsYes, because its new volume would be 60 cubic unitsYes, because its new volume would be 64 cubic unitsCorrect! Four layers of 16 unit cubes give 64 cubic units, which is enough space.
Try again. One layer has 4 x 4 unit cubes, and the new container would have 4 layers.
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