Which correctly describes a cross section of the cube below? Check all that apply.

A cube with 4 centimeter sides.

A cross section parallel to the base is a square measuring 4 cm by 4 cm.

A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.

A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.

A cross section perpendicular to the base through the midpoints of opposite sides is a square measuring 4 cm by 4 cm.

A cross section that passes through the entire bottom front edge and the entire top back edge is a rectangle measuring 4 cm by greater than 4 cm.

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Newton9022 Newton9022 · Answer 1 · 2020-05-13T07:40:53+02:00

Answer:

B,E and F

Step-by-step explanation:

Since a cube has equal base length, any cross section parallel to the base will also have an equal base length.

(E)A cross section perpendicular to the base through the midpoints of opposite sides is a square measuring 4 cm by 4 cm.

Since a cube has equal side lengths, any cross section parallel to the side will also have an equal base length.

(F)A cross section that passes through the entire bottom front edge and the entire top back edge is a rectangle measuring 4 cm by greater than 4 cm.

Using Pythagoras Theorem

[tex]4^2+4^2=4\sqrt{2}>4[/tex]

There the cross section will be a rectangle which measures [tex]4\sqrt{2}\:cm\:by\:4\:cm[/tex]