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Slicing Solids: Cross-Sections — Mixed

Name the flat shape the cut exposes, and say why the solid gives that shape.

ExampleThe solid is a right rectangular prism measuring 7 cm by 9 cm by 11 cm tall. It is sliced along the shaded plane — a cut PARALLEL to the base.
What two-dimensional shape is the cross-section? Give its dimensions if you can.
Shape: a rectangle 7 cm by 9 cm
Why: A cut parallel to the base of a right rectangular prism gives a rectangle CONGRUENT to the base — the prism has the same cross-section all the way up, which is what makes it a prism.
  1. 1.The solid is a right rectangular prism measuring 10 cm by 7 cm by 8 cm tall. It is sliced along the shaded plane — a cut PARALLEL to the base.
    What two-dimensional shape is the cross-section? Give its dimensions if you can.
    Shape:
    Why?
  2. 2.The solid is a right rectangular prism measuring 5 cm by 4 cm by 5 cm tall. It is sliced along the shaded plane — a VERTICAL cut PERPENDICULAR to the base.
    What two-dimensional shape is the cross-section? Give its dimensions if you can.
    Shape:
    Why?
  3. 3.The solid is a right rectangular pyramid with a base 8 cm by 9 cm and a height of 9 cm. It is sliced along the shaded plane — a VERTICAL cut through the apex.
    What two-dimensional shape is the cross-section? Give its dimensions if you can.
    Shape:
    Why?
  4. 4.The solid is a right rectangular pyramid with a base 7 cm by 7 cm and a height of 12 cm. It is sliced along the shaded plane — a cut PARALLEL to the base.
    What two-dimensional shape is the cross-section? Give its dimensions if you can.
    Shape:
    Why?
  5. 5.The solid is a right rectangular pyramid with a base 8 cm by 9 cm and a height of 12 cm. It is sliced along the shaded plane — a VERTICAL cut through the apex.
    What two-dimensional shape is the cross-section? Give its dimensions if you can.
    Shape:
    Why?