The figure shows a piece of cardboard that will be folded and glued along the edges to form a rectangular box. The angles at the corners of the cardboard are all right angles. What will be the volume, in $\mathrm{cm}^3$, of the box?

(a) 1500

(b) 3000

(c) 4500

(d) 6000

(e) 12000

![](https://cdn.mathpix.com/cropped/2024_05_01_30c9a294a58a6e4b8190g-009.jpg?height=386&width=539&top_left_y=1372&top_left_x=747)
The correct option is (b).

![](https://cdn.mathpix.com/cropped/2024_05_01_30c9a294a58a6e4b8190g-052.jpg?height=449&width=625&top_left_y=1957&top_left_x=407)

The figure shows the folds that will be made to assemble the box, which will have the following dimensions: $20 \mathrm{~cm}$ in width, $15 \mathrm{~cm}$ in length, and $10 \mathrm{~cm}$ in height. Therefore, its volume will be

$$
20 \times 15 \times 10=3000 \mathrm{~cm}^{3}
$$