Question

A student’s desk is 80cm wide at the front and 60cm wide at the back. The desk is 50cm deep. Find the area of the desk.

Answer 1

Given that:

- The desk is 80 centimeters wide at the front.

- It is 60 centimeters wide at the back.

- It is 50 centimeters deep.

You can conclude that it is a rectangular prism.

The Surface Area of the rectangular prism can be calculated using this formula:

$SA=2wl+2hl+2hw$

Where "l" is the length, "w" is the width, and "h" is the height.

In this case, you can set up that:

$\begin{gathered} l=80\operatorname{cm} \\ w=60\operatorname{cm} \\ h=50\operatorname{cm} \end{gathered}$

Therefore, substituting values into the formula and evaluating, you get:

$SA=2(60\operatorname{cm})(80\operatorname{cm})+2(50\operatorname{cm})(80\operatorname{cm})+2(50\operatorname{cm})(60\operatorname{cm})$$SA=9600cm^2+8000cm^2+6000cm^2$$\begin{gathered} SA=9600cm^2+8000cm^2+6000cm^2 \\ \\ SA=23600cm^2 \end{gathered}$

Hence, the answer is:

$SA=23600cm^2$