Question

Select the correct answer for each question.The edge of a cube is 4 inches. The area of a cross section perpendicular to one face is __ (8, 12, 16, 24) square inches, and its perimeter is __ (8, 12, 16, 32) inches.

Answer 1

Given data:

The given edge of the cube is a=4 inches.

The expression for the area of the cross-section is,

`A=a^2`

Substitute the given value in the above expression.

`\begin{gathered} A=(4in)^2 \\ =16in^2 \end{gathered}`

The perimeter of one of the face is,

`P=4a`

Substitute the givenn value in the above expression.

`\begin{gathered} P=4(\text{ 4 in)} \\ =16\text{ in} \end{gathered}`

Thus, the area one of the face is 16 square-in, and perimeter one of face is 16 inches.