Find the volume and total surface of a cuboid with the length of 15cm the width of 12cm and the height of 10cm
To find the volume of a cuboid, you multiply its length by its width by its height.
Volume = length x width x height = 15cm x 12cm x 10cm = 1,800 cubic centimeters.
Now, to find the total surface area of the cuboid, you need to calculate the sum of the areas of all six faces.
- The area of the two opposite faces (length x width) = 15cm x 12cm = 180 square centimeters (2 times)
- The area of the other two opposite faces (length x height) = 15cm x 10cm = 150 square centimeters (2 times)
- The area of the remaining two opposite faces (width x height) = 12cm x 10cm = 120 square centimeters (2 times)
Total surface area = 2(180) + 2(150) + 2(120) = 360 + 300 + 240 = 900 square centimeters.