Answer :
The number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is 25 times.
Surface area of a rectangular prism
The surface area of a rectangular prism is as follows;
surface area = lwh
where
- l = length
- w = width
- h = height
Therefore,
surface area of the first prism = 8 ft²
surface area of the second prism = 200 ft²
Therefore, the number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is as follows;
200 / 8 = 25
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