Question

1. 4 m, 26 m² (with a rectangular prism image)

Explanation:

Assuming the problem is to find the volume of the rectangular prism (since it's a prism with a cross - sectional area and a height/side length). The formula for the volume \(V\) of a prism is \(V=\text{Base Area}\times\text{Height}\).

Step 1: Identify the base area and the height

The base area (the area of the shaded face) is given as \(26\space m^{2}\), and the height (the side length perpendicular to the base) is \(4\space m\).

Step 2: Calculate the volume

Using the formula \(V = \text{Base Area}\times\text{Height}\), we substitute the values. So \(V=26\times4\).
\(26\times4 = 104\)

Answer:

The volume of the rectangular prism is \(104\space m^{3}\)