A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a base of 20 cm and a height of 18 cm. The length of the entire box is 150 cm.

Answer 1

To find the volume of the box, we need to find the area of the triangular face and then multiply it by the length of the box.

First, let's find the area of the triangular face. The formula for the area of a triangle is:

Area = 1/2 * base * height

Plugging in the values given:

Area = 1/2 * 20 cm * 18 cm
Area = 180 cm²

Now, we can find the volume of the triangular prism. The formula for the volume of a prism is:

Volume = area of base * height

Plugging in the values:

Volume = 180 cm² * 150 cm
Volume = 27,000 cm³

So, the math teacher's box has a volume of 27,000 cm³.