Question

A cube with a side length of 6 feet is sliced diagonally such that it passes through the three vertices shown in the figure. Which describes the cross section?

A cube. A cross section is a triangle that touches 3 corners of the cube.
a triangle with 3 equal sides measuring 6 feet
a triangle with 3 equal sides measuring greater than 6 feet
a triangle with only 2 equal sides measuring 6 feet
a triangle with only 2 equal sides measuring greater than 6 feet

Answer 1

Answer:

C)  a ttiangle with only 2 sides measuring 6 feet

Step-by-step explanation:

Answer 2

The cross section is a triangle with three equal sides measuring more than 6 feet.

What is a cube?

A cube is a solid three dimensional shape with 6 faces or squares of equal length.

Analysis:

The diagonal of one face of the cube forms right angle triangle with the adjacent sides of that face of the cube.

So using Pythagoras to find length,

$diagonal^{2}$ = $6^{2}$ + $6^{2}$

$diagonal^{2}$ = 36 + 36

$diagonal^{2}$ = 72

diagonal = $\sqrt{72}$ = 8.48 feet. Which is same form the remaining two diagonals forming the triangle.

Therefore the cross section is a triangle with three equal sides with length greater than 6  feet.

In conclusion,  the cross section is a triangle with three equal sides with length greater than 6  feet.

Learn more about cubes: brainly.com/question/1972490

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