While exploring Mars, Emek and Luna collected rock samples that needed 70 cubic units of storage space. They had two transparent rectangular containers. Container A measured 6 units long, 4 units wide, and 3 units high, giving a volume of 72 cubic units. Container B measured 5 units long, 5 units wide, and 3 units high, giving 75 cubic units. Both could hold the samples, but Luna noticed that Container A had less unused space. They chose Container A, packed the rocks safely, and continued their Mars mission.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Multiply the length, width, and height to find the volume.
Emek checks the volume of Container A, which measures 6 units long, 4 units wide, and 3 units high. Which calculation correctly verifies its volume?
6 + 4 + 3 = 13 cubic units6 x 4 + 3 = 27 cubic units6 x 4 x 3 = 72 cubic units6 x 4 = 24 cubic unitsCorrect! Multiplying 6 by 4 by 3 gives 72 cubic units.
Try again. Volume is found by multiplying all three dimensions.
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Hint
Find the difference between the container's volume and the space the samples need.
The rock samples need 70 cubic units of space. Container A holds 72 cubic units. How many cubic units of space will be unused after the samples are packed?
Correct! Container A has 2 cubic units of unused space.
Try again. Subtract the 70 cubic units needed from the 72 cubic units available.
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Hint
Both containers are large enough. Compare how much space is left after using 70 cubic units.
Emek says Container B is the better choice because it has a larger volume. Which statement best explains why Luna's choice of Container A makes more sense if they want the container with the least unused space?
Container A holds 70 cubic units, so it has no unused spaceContainer A holds 72 cubic units, leaving 2 unused, while Container B holds 75 cubic units, leaving 5 unusedContainer B holds 75 cubic units, so it leaves only 1 cubic unit unusedContainer B is too small to hold 70 cubic unitsCorrect! Container A leaves only 2 cubic units unused, less than Container B.
Try again. Subtract 70 from each container's volume and compare the unused space.
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