What is the surface area and volume of a rectangular prism with a length that is 8m, a width that is 12m, and a height that is 4m?
Thank You.
The volume is the product of the three dimensions, in cubic meters.
The surface area is the sum of a pair of 8x12 m^2 (square meter) ends, a pair of 12 x 4 m^2 ends, and a pair of 8 x 4 m^2 ends. Add them up.
Thank you.
To find the surface area of a rectangular prism, you need to find the areas of each face and add them together.
The formula to find the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given the dimensions of the rectangular prism as follows:
Length = 8m
Width = 12m
Height = 4m
To find the surface area, substitute the given values into the formula:
Surface Area = 2(8)(12) + 2(8)(4) + 2(12)(4) = 192 + 64 + 96 = 352 square meters
So, the surface area of the rectangular prism is 352 square meters.
To find the volume of a rectangular prism, you need to multiply the length, width, and height.
The formula to find the volume of a rectangular prism is:
Volume = lwh
Using the given dimensions:
Length = 8m
Width = 12m
Height = 4m
To find the volume, substitute the given values into the formula:
Volume = (8)(12)(4) = 384 cubic meters
So, the volume of the rectangular prism is 384 cubic meters.