Calculate the surface area of the rectangular prism shown in the net.HINT: The formula for the area of a rectangle is 𝐴=𝑙×𝑤.View Image DescriptionA net composed of six rectangles is drawn on a coordinate plane with the following attributes:Two rectangles have the dimensions of 10 and 8 units.Two rectangles have the dimensions of 8 and 5 units.Two rectangles have the dimensions of 10 and 5 units.320 units squared340 units squared360 units squared440 units squared
Question
Calculate the surface area of the rectangular prism shown in the net.HINT: The formula for the area of a rectangle is 𝐴=𝑙×𝑤.View Image DescriptionA net composed of six rectangles is drawn on a coordinate plane with the following attributes:Two rectangles have the dimensions of 10 and 8 units.Two rectangles have the dimensions of 8 and 5 units.Two rectangles have the dimensions of 10 and 5 units.320 units squared340 units squared360 units squared440 units squared
Solution
To calculate the surface area of a rectangular prism, you need to find the area of each face (which are all rectangles) and then add them together.
The formula for the area of a rectangle is A = l * w (length times width).
Given in the problem, we have three pairs of rectangles with dimensions:
- Two rectangles of 10 units by 8 units
- Two rectangles of 8 units by 5 units
- Two rectangles of 10 units by 5 units
We calculate the area of each pair of rectangles and then add them together:
- Area of the first pair = 2 * (10 * 8) = 160 square units
- Area of the second pair = 2 * (8 * 5) = 80 square units
- Area of the third pair = 2 * (10 * 5) = 100 square units
Adding these together, the total surface area of the rectangular prism is 160 + 80 + 100 = 340 square units.
So, the correct answer is 340 units squared.
Similar Questions
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