Question

Find the surface area of a 10cm×4cm×3cm A) 84 square cm B) 124 square cm C) 164 square cm D) 180 square cm

Answer 1

The surface area of a 10cm*4cm*3cm rectangular box is found by summing the areas of each face. As such, it totals 164cm².

Step-by-step explanation:

To find the surface area of a rectangular prism (like the one in your question), we have to add up the areas of all six faces. In your case, the dimensions are 10cm (length), 4cm (width), and 3cm (height). There are two faces for each dimension because it's a rectangular box (top/bottom, left/right, front/back).

1. For length and width: 10cm x 4cm = 40cm². Since there are two faces, we multiply by 2, so we get 80cm².
2. For length and height: 10cm x 3cm = 30cm². Multiply by 2 because there are two faces, so we get 60cm².
3. For width and height: 4cm x 3cm=12cm². Again, multiply by 2, so we get 24cm².

We then add these up: 80cm² + 60cm² + 24cm² = 164cm². So the surface area of your rectangular prism is 164cm², which correspond to option C of your choices.

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