Respuesta :
The surface area of a rectangular prism can be found by adding the area of all sides together. To start, we will have to find the dimensions for the new prism, which is 5 * 6 * 8.
Then, we will have to find the area for each side. One of the sides will have 8*6, another 8*5, and the last 5*6.
We will then have 48, 40, and 30. Multiply them all by 2 and add them all together.
You will receive the final answer of 236 square inches.
Then, we will have to find the area for each side. One of the sides will have 8*6, another 8*5, and the last 5*6.
We will then have 48, 40, and 30. Multiply them all by 2 and add them all together.
You will receive the final answer of 236 square inches.
The surface area of the reduced prism is 236 in².
Area
Area is the amount of space occupied by a two dimensional object or figure.
The surface area (A) of a rectangular prism is given by:
A = 2(lw + lh + hw)
where l = length, w = width and h = height.
The dimensions of the prism are halved, hence:
l = 10 in./2 =5 in., w = 12 / 2 = 6 in., h = 16 / 2 = 8 in.
Hence:
A = 2(5 * 6 + 5 * 8 + 8 * 6) = 236 in²
The surface area of the reduced prism is 236 in².
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