If a triangular prism is sliced horizontally, parallel to its triangular base, what is the shape of the cross-section formed? If the prism's bas of 4 meters and a base length of 6 meters, what is the area of the resulting cross-section? Use the drop-down arrow to complete the sentences. The shape of the cross-section formed is a The area of the cross-section is square sq square . square triangle

## Step 1<br />The problem involves a triangular prism, which is a three-dimensional geometric shape. When a triangular prism is sliced horizontally, parallel to its triangular base, the shape of the cross-section formed is the same as the shape of the base. In this case, the base is a triangle, so the cross-section is also a triangle.<br /><br />## Step 2<br />The area of a triangle is given by the formula:<br />### \(A = \frac{1}{2} \times \text{base} \times \text{height}\)<br />In this problem, the base of the triangle is given as 4 meters and the height is given as 6 meters.<br /><br />## Step 3<br />Substitute the given values into the formula to find the area of the triangle.<br />### \(A = \frac{1}{2} \times 4 \times 6 = 12 \, \text{square meters}\)