What is the surface area of the rectangular prism with sides 1.5mm, 1.5mm, and 8mm?
The surface area of a rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the rectangular prism.
Substituting the given values, we get:
Surface Area = 2(1.5mm x 1.5mm) + 2(1.5mm x 8mm) + 2(1.5mm x 8mm)
Surface Area = 2(2.25mm²) + 2(12mm²) + 2(12mm²)
Surface Area = 4.5mm² + 24mm² + 24mm²
Surface Area = 52.5mm²
Therefore, the surface area of the rectangular prism is 52.5mm².
To find the surface area of a rectangular prism, you need to calculate the area of each of its six faces and then sum them up.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Where:
l = length
w = width
h = height
Given the sides of the rectangular prism, we can substitute the values into the formula:
l = 1.5mm
w = 1.5mm
h = 8mm
Surface Area = 2(1.5 * 1.5) + 2(1.5 * 8) + 2(1.5 * 8)
Surface Area = 2(2.25) + 2(12) + 2(12)
Surface Area = 4.5 + 24 + 24
Surface Area = 52.5
Therefore, the surface area of the rectangular prism with sides 1.5mm, 1.5mm, and 8mm is 52.5 square millimeters.