To find the surface area of each prism, we need to calculate the surface area of each face and then add them together.
For Prism A:
Surface Area = 2(2x3 + 3x4 + 2x4)
Surface Area = 2(6 + 12 + 8)
Surface Area = 2(26)
Surface Area = 52 cm^2
For Prism B:
Surface Area = 2(4x6 + 6x8 + 4x8)
Surface Area = 2(24 + 48 + 32)
Surface Area = 2(104)
Surface Area = 208 cm^2
Now, to find out how many times the surface area of Prism B is compared to Prism A, we divide the surface area of Prism B by the surface area of Prism A:
208 cm^2 / 52 cm^2 = 4
Therefore, the surface area of Prism B is 4 times the surface area of Prism A.
The dimensions for two rectangular prisms are shown below.
Prism A: 2 cm by 3 cm by 4 cm
Prism B: 4 cm by 6 cm by 8 cm
The surface area of prism B is how many times the surface area of prism A?
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