Will Prisms A and B hold the same amount, since they are both Prisms? Why or why not?
Will tall Prism A and tall Cylinder C hold the same amount? Why or why not?
Will C and D hold the same amount, since they are both Cylinders? Why or why not?
Will short Prism B and short Cylinder D hold the same amount? Why or why not.
There is no specifications of measurement so.. idk
To determine if two shapes hold the same amount, we need to consider their volume.
1. Prisms A and B: Since both Prisms A and B are prisms, they will hold the same amount if they have the same base area and height. If their base areas and heights are equal, then the volumes of Prisms A and B will be the same. Otherwise, they will hold different amounts.
2. Tall Prism A and tall Cylinder C: Prisms and cylinders have different formulas to calculate their volumes. The volume of a prism is calculated by multiplying the base area by the height, while the volume of a cylinder is calculated by multiplying the base area by the height and then multiplying by π. Unless the base areas and heights are identical for Prism A and Cylinder C, they will not hold the same amount.
3. Cylinders C and D: As both Cylinder C and Cylinder D are cylinders, they will hold the same amount if their base areas and heights are equal. If the base areas and heights differ, then the volumes of Cylinders C and D will be different.
4. Short Prism B and short Cylinder D: Similar to the previous cases, Prism B and Cylinder D will hold the same amount if their base areas and heights are equal. If the base areas and heights differ, the volumes of Prism B and Cylinder D will be different.
Without specific measurements provided, it is not possible to definitively determine if the volumes of these shapes are the same.