If you use 8-inch by 10-inch paper, each side of the prism will measure 2.5 inches,
and the height will be 8 inches.
The dimensions of the prism will be 2.5 inches by 2.5 inches by 8 inches.
To find the volume of the prism, you need to multiply the area of the base by the height.
Step 1: Find the area of the base
Since the base is a rectangle with dimensions 8 inches by 10 inches, you can use the formula for the area of a rectangle which is length times width.
Area of the base = length × width = 8 inches × 10 inches = 80 square inches.
Step 2: Multiply the area of the base by the height
Now, you can multiply the area of the base (which is 80 square inches) by the height of the prism (which is 8 inches).
Volume of the prism = area of the base × height = 80 square inches × 8 inches = 640 cubic inches.
Therefore, the volume of the prism is 640 cubic inches.
To find the surface area of the prism, we first need to determine the number of sides and their dimensions.
A prism has two identical bases and rectangular side faces. In this case, the base is an 8-inch by 10-inch rectangle. Each side of the prism will have dimensions of 2.5 inches by 8 inches.
To calculate the total surface area, we need to find the area of each face and then sum them up.
1. Base: The base of the prism is an 8-inch by 10-inch rectangle. The area of the base is given by multiplying the length and width: 8 inches * 10 inches = 80 square inches.
2. Side faces: There are four identical side faces in the prism. Each side face is a rectangle with dimensions of 2.5 inches by 8 inches. The area of each side face is found by multiplying the length and width: 2.5 inches * 8 inches = 20 square inches. Since there are four identical side faces, the total area of all the side faces is 4 * 20 square inches = 80 square inches.
3. Total surface area: To find the total surface area, we add the area of the base and the area of the side faces. In this case, the total surface area is 80 square inches (base) + 80 square inches (side faces) = 160 square inches.
Therefore, the surface area of the prism is 160 square inches.