In the cube shown below, the distance between vertices 2 and 6 is 15 cm. If the cube is divided into two equal parts by a plane parallel to the face defined by vertices 2, 3, 6, and 7, what will be the area of the cross-section?
A.
45 sq cm
B.
15 sq cm
C.
225 sq cm
D.
60 sq cm

256 sq cm

Step-by-step explanation:

cube is a three-dimensional figure with six congruent square faces. Since each face is congruent, each of the edges have the same length.

The cross-section described is shown below.

The cross-section is also a square which is congruent to the other faces of the cubes. Therefore, the edges of the cross-section will each measure 16 cm. Find the area by using the formula for the area.

         A=lw

             =(16cm) (16cm)

                =256 sq cm  

So, the area of the cross-section is 256 sq cm.

hope this helps some wayStep-by-step explanation:

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: