Find the surface area of the figure formed by the net with 2 cm, 3 cm, and 4 cm edges

1 answer

To find the surface area of the figure formed by the net with 2 cm, 3 cm, and 4 cm edges, we first need to identify the shape of the net.

The net formed by the given edges is that of a rectangular prism. The net consists of 6 faces - 2 rectangles with dimensions 2cm x 3cm, 2 rectangles with dimensions 2cm x 4cm, and 2 rectangles with dimensions 3cm x 4cm.

To find the surface area of the rectangular prism, we calculate the area of each face and then sum them up.

Area of 2 rectangles with dimensions 2cm x 3cm:
2(2cm x 3cm) = 2(6cm) = 12 square cm

Area of 2 rectangles with dimensions 2cm x 4cm:
2(2cm x 4cm) = 2(8cm) = 16 square cm

Area of 2 rectangles with dimensions 3cm x 4cm:
2(3cm x 4cm) = 2(12cm) = 24 square cm

Now, summing up all the areas:
12 + 16 + 24 = 52 square cm

Therefore, the surface area of the figure formed by the net with 2 cm, 3 cm, and 4 cm edges is 52 square cm.