If a rectangular prism has a length of 14 cm. , width of 11 cm. , height of 19 cm. , what is the surface area?
It has six sides (four sides) and two ends.
I see two ends 11x19, and two sides 14x11, and two sides 14x19.
Draw a sketch.
To find the surface area of a rectangular prism, we 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 = 2(length × width) + 2(length × height) + 2(width × height)
Given the measurements you provided:
Length = 14 cm
Width = 11 cm
Height = 19 cm
We can now substitute these values into the formula:
Surface Area = 2(14 cm × 11 cm) + 2(14 cm × 19 cm) + 2(11 cm × 19 cm)
To simplify the calculation, let's perform the multiplications:
Surface Area = 2(154 cm²) + 2(266 cm²) + 2(209 cm²)
Now, multiply each result by 2:
Surface Area = 308 cm² + 532 cm² + 418 cm²
Finally, sum up these three areas to get the total surface area:
Surface Area = 1258 cm²
Therefore, the surface area of the rectangular prism is 1258 square centimeters.