Find the surface area of the rectangular prism.
4 m
6 m
4 m
The surface area of a rectangular prism is given by the formula: SA = 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the prism.
Using the given values, we have:
SA = 2(4)(6) + 2(4)(4) + 2(6)(4)
SA = 48 + 32 + 48
SA = 128
Therefore, the surface area of the rectangular prism is 128 square meters.
To find the surface area of a rectangular prism, you need to find the area of each of the six faces and then add them up.
The rectangular prism has dimensions of 4 m (length), 6 m (width), and 4 m (height).
1. Face 1: The front and back faces have the same dimensions, so you find their area by multiplying the length by the width:
Area of front/back face = 4 m * 6 m = 24 square meters
2. Face 2: The top and bottom faces also have the same dimensions, so you find their area by multiplying the length by the height:
Area of top/bottom face = 4 m * 4 m = 16 square meters
3. Face 3: The left and right faces also have the same dimensions, so their area is also found by multiplying the width by the height:
Area of left/right face = 6 m * 4 m = 24 square meters
To find the surface area, add up the areas of all six faces:
Surface area = 24 square meters + 24 square meters + 16 square meters + 24 square meters + 24 square meters + 16 square meters
Surface area = 128 square meters
Therefore, the surface area of the rectangular prism is 128 square meters.