Question

What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area of the cross-section? In two or more complete sentences, explain how you were able to determine the shape and area of the cross-section. Be sure to include the properties of quadrilaterals and the mathematical computations necessary to support your answers

Answer 1

Answer:

Area of given figure = 96 unit²

Step-by-step explanation:

Given:

Length of shape = 4 unit

Width of shape = 4 unit

Height of shape = 4 unit

Find:

Area of given figure

Computation:

All side of figure all equal

So,

Given figure is a cube

Number of faces of cube = 6

Area of base = side x side

Area of base = 4 x 4

Area of base = 16 unit²

Area of given figure = Area of base x Number of faces of cube

Area of given figure = 16 x 6

Area of given figure = 96 unit²