Question

The edge of a cube is 4 inches.

The area of a cross section perpendicular to one face is
square inches, and its perimeter is inches

Answer 1

part1 A=16/2 pt2 =16

Explanation:

Answer 2

Part 1)
`A=16\ in^2`

Part 2)
`P=16\ in`

Explanation:

we know that

A cube has six equal square faces

A cross-section perpendicular to one face of the cube is equal to a square

see the attached figure to better understand the problem

Part 1) Find the area of the cross section

The area of the square is

`A=b^2`

where

b is the length side of the square

we have

`b=4\ in`

substitute

`A=4^2`

`A=16\ in^2`

Part 2) Find the perimeter of the cross section

The perimeter of the square is

`P=4b`

where

b is the length side of the square

we have

`b=4\ in`

substitute

`P=4(4)`

`P=16\ in`