At the Moon base, Emek and Luna needed a rectangular box to hold 60 unit cubes of equipment. They tested different dimensions before building it. A box 6 units long, 3 units wide, and 3 units high would hold 54 cubic units, so it was too small. Then they tried 5 units long, 4 units wide, and 3 units high. Its volume was 60 cubic units. Luna checked by imagining 3 layers of 20 cubes each. With exactly enough space, they built the box and stored all the equipment safely.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
First find the number of cubes in one layer, then use the number of layers.
Luna imagined the 5-by-4-by-3 box as 3 layers. Which calculation shows how she could find its volume?
5 + 4 + 3 = 12 cubic units5 x 4 = 20 cubic units20 + 3 = 23 cubic units5 x 4 = 20, then 20 x 3 = 60 cubic unitsCorrect! Each layer has 20 cubes, and 3 layers hold 60 cubes.
Try again. Find the cubes in one 5-by-4 layer, then multiply by 3 layers.
Next🎉 Congrats! You got this question!
Hint
Find the difference between 60 and 54.
The first box held 54 cubic units, but the equipment needed 60 cubic units of space. How many more cubic units of space were needed?
Correct! The first box needed 6 more cubic units of space.
Try again. Subtract the first box's volume from the space needed.
Next🎉 Congrats! You got this question!
Hint
Find 10 x 2 x 3, then compare it with 60 cubic units.
Emek considers another box that is 10 units long, 2 units wide, and 3 units high. How does this box compare with the 5-by-4-by-3 box they built?
Both have a volume of 60 cubic unitsThe new box has a volume of 15 cubic unitsThe new box has a volume of 30 cubic unitsThe new box has a volume of 120 cubic unitsCorrect! Different dimensions can make the same volume of 60 cubic units.
Try again. Multiply the length, width, and height of the new box and compare the result with 60.
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🎉 Congrats! You finished this challenge set!
