Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Find the total surface area of the rectangular prism attached.

Answer:

72 cm²

Step-by-step explanation:

From the rectangular prism attached, we can see that it has 6 sides.

Now, each side has a mirrored part which is of same dimensions with it.

Thus, unfolding to get a net, we have;

2 faces with dimension: 3cm × 6cm

2 faces with dimension: 2cm × 6 cm

2 faces with dimension: 2cm × 3cm

Thus,total surface area is;

2(3cm × 6cm) + 2(2cm × 6cm) + 2(2cm × 3cm) = 36 + 24 + 12 = 72 cm²

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3 years ago