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Answer :
Final answer:
A. The surface area of the cuboid is 752 square centimeters.
B. The volume of the cuboid is 1,344 cubic centimeters.
Explanation:
To find the surface area of a cuboid, you need to calculate the areas of all six sides and then sum them up.
1. Start by calculating the area of the top and bottom faces, which are identical. The formula for the area of a rectangle is length × width, so for each of these faces, it's 14 cm × 12 cm = 168 square cm. Since there are two identical faces, you add them together: 2 × 168 square cm = 336 square cm.
2. Next, calculate the area of the front and back faces. Again, they are identical, so you apply the same formula: 14 cm × 8 cm = 112 square cm. Like before, there are two of these faces, so the total area is 2 × 112 square cm = 224 square cm.
3. Finally, calculate the area of the two side faces. Once more, they are identical: 12 cm × 8 cm = 96 square cm each. With two of them, you get 2 × 96 square cm = 192 square cm.
Now, add up all these areas: 336 square cm (top and bottom) + 224 square cm (front and back) + 192 square cm (sides) = 752 square cm.
So, the surface area of the cuboid is 752 square centimeters.
To find the volume of the cuboid, multiply its length, width, and height: 14 cm × 12 cm × 8 cm = 1,344 cubic centimeters.
Learn more about Area and volume.
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