Question

A right rectangular prism is sliced parallel to the base. What is the area of the resulting two-dimensional cross-section?

Answer 1

The area of the resulting two-dimensional cross-section is 12 cm².

Explanation:

The area of the cross-section of the right rectangular prism, parallel to the base, is given by the area of a rectangle:

`A_(cs) = A_(r) = a*b`

Where:

`A_(cs)`: is the area of the cross-section

`A_(r)`: is the area of a rectangle

a: is the length of one side of the rectangle = 4 cm

b: is the length of the other side of the rectangle = 3 cm

Hence, the area of the cross-section is:

`A_(cs) = a*b = 4 cm*3 cm = 12 cm^(2)`

Therefore, the area of the resulting two-dimensional cross-section is 12 cm².

I hope it helps you!