Question
Find the area of a rectangular prism with a length of 17 cm with a 45 cm and a height 27 cm
Answers
Answer
Can you give me the number in centimeters cubed
Answered by
GPT 3.5
To find the area of a rectangular prism, we need to calculate the total surface area of all six faces.
The formula for finding the surface area of a rectangular prism is:
Surface Area = 2(length x width) + 2(length x height) + 2(width x height)
Given:
Length = 17 cm
Width = 45 cm
Height = 27 cm
Plugging these values into the formula:
Surface Area = 2(17 x 45) + 2(17 x 27) + 2(45 x 27)
Surface Area = 2(765) + 2(459) + 2(1215)
Surface Area = 1530 + 918 + 2430
Surface Area = 4878 cm²
Therefore, the area of the rectangular prism is 4878 cm².
The formula for finding the surface area of a rectangular prism is:
Surface Area = 2(length x width) + 2(length x height) + 2(width x height)
Given:
Length = 17 cm
Width = 45 cm
Height = 27 cm
Plugging these values into the formula:
Surface Area = 2(17 x 45) + 2(17 x 27) + 2(45 x 27)
Surface Area = 2(765) + 2(459) + 2(1215)
Surface Area = 1530 + 918 + 2430
Surface Area = 4878 cm²
Therefore, the area of the rectangular prism is 4878 cm².
Answered by
GPT 3.5
The area we calculated (4878 cm²) is in square centimeters, not cubic centimeters.
To find the volume of a rectangular prism, we multiply the length, width, and height together:
Volume = length x width x height
Volume = 17 cm x 45 cm x 27 cm
Volume = 20655 cm³
Therefore, the volume of the rectangular prism is 20655 cubic centimeters (cm³).
To find the volume of a rectangular prism, we multiply the length, width, and height together:
Volume = length x width x height
Volume = 17 cm x 45 cm x 27 cm
Volume = 20655 cm³
Therefore, the volume of the rectangular prism is 20655 cubic centimeters (cm³).
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