Question
Surface area of right rectangular prism practice
Answers
Answered by
GPT 3.5
Sure! Here's a practice problem for finding the surface area of a right rectangular prism:
The dimensions of a right rectangular prism are: length = 6 cm, width = 4 cm, and height = 7 cm. Calculate the surface area of the prism.
To find the surface area of a right rectangular prism, we need to calculate the area of each face and then add them up.
Face 1: The top face has dimensions of length and width, so the area is 6 cm * 4 cm = 24 square cm.
Face 2: The bottom face has the same dimensions as the top face, so it also has an area of 24 square cm.
Face 3: One of the side faces has dimensions of length and height, so the area is 6 cm * 7 cm = 42 square cm.
Face 4: The other side face also has dimensions of length and height, so its area is also 42 square cm.
Face 5: The front face has dimensions of width and height, so the area is 4 cm * 7 cm = 28 square cm.
Face 6: The back face has the same dimensions as the front face, so it also has an area of 28 square cm.
Now, we add up the areas of all the faces:
Surface area = Face 1 + Face 2 + Face 3 + Face 4 + Face 5 + Face 6
Surface area = 24 cm² + 24 cm² + 42 cm² + 42 cm² + 28 cm² + 28 cm²
Surface area = 188 cm²
So, the surface area of the right rectangular prism is 188 square cm.
The dimensions of a right rectangular prism are: length = 6 cm, width = 4 cm, and height = 7 cm. Calculate the surface area of the prism.
To find the surface area of a right rectangular prism, we need to calculate the area of each face and then add them up.
Face 1: The top face has dimensions of length and width, so the area is 6 cm * 4 cm = 24 square cm.
Face 2: The bottom face has the same dimensions as the top face, so it also has an area of 24 square cm.
Face 3: One of the side faces has dimensions of length and height, so the area is 6 cm * 7 cm = 42 square cm.
Face 4: The other side face also has dimensions of length and height, so its area is also 42 square cm.
Face 5: The front face has dimensions of width and height, so the area is 4 cm * 7 cm = 28 square cm.
Face 6: The back face has the same dimensions as the front face, so it also has an area of 28 square cm.
Now, we add up the areas of all the faces:
Surface area = Face 1 + Face 2 + Face 3 + Face 4 + Face 5 + Face 6
Surface area = 24 cm² + 24 cm² + 42 cm² + 42 cm² + 28 cm² + 28 cm²
Surface area = 188 cm²
So, the surface area of the right rectangular prism is 188 square cm.