Lesson 1.41.4 Small Group · Group 2
Group 2 · Set BSecond challenge form · new problems, same idea
Learning target I can construct an argument using equations, drawings, or words, and use volume to defend a recommendation, explain what each part stands for, and build one for a situation I have not seen before.
Remember1.4 Small Group · Group 2
Back every claim with correct calculations and clear words, and test an “always” claim, because one counterexample can prove it false. Test a claim before you trust it. One counterexample shows that an “always” claim is false.
Words: argument (argumento)conjecture (conjetura)counterexample (contraejemplo)volume (volumen)cubic unit (unidad cúbica)
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1Complete each step, then write the final answer.
Pack A has 2 boxes. Each box is 8 in by 2 in by 10 in. Pack B has 3 boxes. Each box is 4 in by 3 in by 9 in. How many more cubic inches does Pack B hold?
Show your workFinal answer: -
2Complete each step, then write the final answer.
Box G is 5 in by 2 in by 12 in. Box H is 4 in by 4 in by 8 in. How many more cubic inches does Box H hold?
Show your workFinal answer: -
3Circle the letter of the best answer. Show how you know.
Sam claims, “A taller fish tank always holds more water.” Which pair of tanks shows that Sam is wrong?
- AA 20 in tall tank holds 2,000 cu in. A 10 in tall tank holds 3,000 cu in.
- BA 20 in tall tank holds 2,000 cu in. A 15 in tall tank holds 1,500 cu in.
- CTwo tanks are both 12 in tall. One holds 480 cu in and one holds 400 cu in.
Show your work -
4Complete each step, then write the final answer.
Box P is 2 in by 3 in by 10 in. Box Q has a 5 in by 6 in bottom. What is the shortest whole-inch height that makes Box Q hold more than Box P?
Show your workFinal answer: