Question

Using the net of the prism shown, what is its surface area?

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the prism, we need to calculate the area of each of its six faces and then sum them up.

The net of the prism contains:
- 2 rectangles with dimensions 4cm by 5cm
- 2 rectangles with dimensions 4cm by 6cm
- 2 rectangles with dimensions 5cm by 6cm

Calculating the area of each face:
- 2 rectangles with dimensions 4cm by 5cm have an area of 4cm x 5 cm = 20 square cm each, so the total area for both is 40 square cm.
- 2 rectangles with dimensions 4cm by 6cm have an area of 4cm x 6 cm = 24 square cm each, so the total area for both is 48 square cm.
- 2 rectangles with dimensions 5cm by 6cm have an area of 5cm x 6 cm = 30 square cm each, so the total area for both is 60 square cm.

Adding up the areas of all faces:
40 cm^2 + 48 cm^2 + 60 cm^2 = 148 cm^2

Therefore, the surface area of the prism is 148 square cm.