An image shows aa rectangular prism with a height of 8.25 , a width of 4 and a length of 5.1
give the later area, the total surface area a d the volume
The lateral area of the rectangular prism can be calculated by finding the area of all the vertical rectangular faces.
Lateral area = 2 * (height * width + height * length)
Lateral area = 2 * (8.25 * 4 + 8.25 * 5.1)
Lateral area = 2 * (33 + 42.075)
Lateral area = 2 * 75.075
Lateral area = 150.15
The total surface area of the rectangular prism can be calculated by adding the lateral area to the area of the two horizontal faces.
Total surface area = Lateral area + 2 * (width * length)
Total surface area = 150.15 + 2 * (4 * 5.1)
Total surface area = 150.15 + 2 * 20.4
Total surface area = 150.15 + 40.8
Total surface area = 190.95
The volume of the rectangular prism can be calculated by finding the product of the height, width, and length.
Volume = height * width * length
Volume = 8.25 * 4 * 5.1
Volume = 33 * 5.1
Volume = 168.3
Therefore, the lateral area of the rectangular prism is 150.15, the total surface area is 190.95, and the volume is 168.3.