What is the surface area of a rectangular prism that is 15 centimeters long, 13 centimeters wide, and 8 centimeters high? (1 point)
A) 419 square centimeters
B) 780 square centimeters
C) 838 square centimeters
D) 1,560 square centimeters
The surface area of a rectangular prism is given by the formula SA = 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the prism respectively. Plugging in the given values, we get:
SA = 2(15)(13) + 2(15)(8) + 2(13)(8)
SA = 390 + 240 + 208
SA = 838
Therefore, the surface area of the rectangular prism is 838 square centimeters, and the answer is C) 838 square centimeters.
To find the surface area of a rectangular prism, you need to calculate the sum of the areas of all six faces.
Step 1: Calculate the area of the first face (length * width):
15 cm * 13 cm = 195 cm²
Step 2: Calculate the area of the second face (length * width):
15 cm * 13 cm = 195 cm²
Step 3: Calculate the area of the third face (width * height):
13 cm * 8 cm = 104 cm²
Step 4: Calculate the area of the fourth face (width * height):
13 cm * 8 cm = 104 cm²
Step 5: Calculate the area of the fifth face (length * height):
15 cm * 8 cm = 120 cm²
Step 6: Calculate the area of the sixth face (length * height):
15 cm * 8 cm = 120 cm²
Step 7: Add up all the areas:
195 cm² + 195 cm² + 104 cm² + 104 cm² + 120 cm² + 120 cm² = 838 cm²
Therefore, the surface area of the rectangular prism is 838 square centimeters.
The correct answer is C) 838 square centimeters.