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A right rectangular prism, a slanted rectangular prism, a right triangular prism, and a right cylinder are shown below. A plane parallel to the bases crosses the solids at the same level. The resulting cross sections (shaded) are shown. Answer the following questions. Note that the figures are not drawn to scale. Solid A Solid B Solid C Solid D (a) Find the areas of the cross sections. Use the value 3.14 for ?. Do not do any rounding. Cross section A 5 cm 8 cm Area = 40 cm² Cross section B 4 cm 10 cm Area = 40 cm² Cross section C 8 cm 10 cm Area = 40 cm² Cross section D 8 cm (Radius is 8 cm) Area = 201.06 cm² (b) If the heights of the solids are the same, which of these solids have the same volume as Solid A? Check all that apply. Solid B Solid C Solid D None of these (c) Which of the following was most closely used in getting the answer to part (b)? As long as solids have the same cross sectional area at a certain level, they have the same volume. If solids have the same height and the same cross sectional area at every level, then they have the same volume. Even if solids have the same height and the same cross sectional area at every level, they don't necessarily have the same volume. As long as solids have the same height, they have the same volume.

          A right rectangular prism, a slanted rectangular prism, a right triangular prism, and a right cylinder are shown below. A plane parallel to the bases crosses the solids at the same level. The resulting cross sections (shaded) are shown. Answer the following questions. Note that the figures are not drawn to scale. Solid A Solid B Solid C Solid D (a) Find the areas of the cross sections. Use the value 3.14 for ?. Do not do any rounding. Cross section A 5 cm 8 cm Area = 40 cm² Cross section B 4 cm 10 cm Area = 40 cm² Cross section C 8 cm 10 cm Area = 40 cm² Cross section D 8 cm (Radius is 8 cm) Area = 201.06 cm² (b) If the heights of the solids are the same, which of these solids have the same volume as Solid A? Check all that apply. Solid B Solid C Solid D None of these (c) Which of the following was most closely used in getting the answer to part (b)? As long as solids have the same cross sectional area at a certain level, they have the same volume. If solids have the same height and the same cross sectional area at every level, then they have the same volume. Even if solids have the same height and the same cross sectional area at every level, they don't necessarily have the same volume. As long as solids have the same height, they have the same volume.

A right rectangular prism, a slanted rectangular prism, a right triangular prism, and a right cylinder are shown below. A plane parallel to the bases crosses the solids at the same level. The resulting cross sections (shaded) are shown. Answer the following questions. Note that the figures are not drawn to scale. Solid A Solid B Solid C Solid D (a) Find the areas of the cross sections. Use the value 3.14 for ?. Do not do any rounding. Cross section A 5 cm 8 cm Area = 40 cm² Cross section B 4 cm 10 cm Area = 40 cm² Cross section C 8 cm 10 cm Area = 40 cm² Cross section D 8 cm (Radius is 8 cm) Area = 201.06 cm² (b) If the heights of the solids are the same, which of these solids have the same volume as Solid A? Check all that apply. Solid B Solid C Solid D None of these (c) Which of the following was most closely used in getting the answer to part (b)? As long as solids have the same cross sectional area at a certain level, they have the same volume. If solids have the same height and the same cross sectional area at every level, then they have the same volume. Even if solids have the same height and the same cross sectional area at every level, they don't necessarily have the same volume. As long as solids have the same height, they have the same volume.

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