surface area of rectangular prisms quick check
1. Calculate the surface area of a rectangular prism with dimensions of 5 cm, 3 cm, and 2 cm.
To calculate the surface area of a rectangular prism, we need to find the area of each face and then add them up.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given:
l = 5 cm
w = 3 cm
h = 2 cm
Plug in the values:
Surface Area = 2(5)(3) + 2(5)(2) + 2(3)(2)
Surface Area = 30 + 20 + 12
Surface Area = 62 cm²
Therefore, the surface area of the rectangular prism is 62 cm².
2. What is the surface area of a rectangular prism with dimensions of 8 cm, 4 cm, and 6 cm?
Given:
l = 8 cm
w = 4 cm
h = 6 cm
Using the formula:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(8)(4) + 2(8)(6) + 2(4)(6)
Surface Area = 64 + 96 + 48
Surface Area = 208 cm²
Therefore, the surface area of the rectangular prism is 208 cm².