Use the image to answer the question. A rectangular prism has dimensions 712 in.×4 in.× 212 in . In the net of this prism, how many sides will be represented? (1 point) sides
There will be 6 sides represented in the net of this rectangular prism. Each face of the rectangular prism corresponds to one side in the net, so there will be a total of 6 sides.
Use the image to answer the question. A necklace comes in a jewelry box whose net is shown in this image. What is the surface area of the box? (1 point)
To find the surface area of the box, we need to calculate the total area of all the faces shown in the net.
From the net, we can see that there are 3 rectangles with dimensions 5 cm x 3 cm each representing the top, bottom, and one side of the box. So the area of each of these rectangles is:
Area = Length x Width
Area = 5 cm x 3 cm
Area = 15 square cm
Since there are 3 such rectangles, the total area of these 3 rectangles is:
Total area = 3 x 15 square cm
Total area = 45 square cm
The other 3 sides are shown as squares with dimensions 3 cm x 3 cm, so the area of each square is:
Area = Side x Side
Area = 3 cm x 3 cm
Area = 9 square cm
Since there are 3 such squares, the total area of these 3 squares is:
Total area = 3 x 9 square cm
Total area = 27 square cm
Therefore, the surface area of the box is the sum of the total area of all the faces:
Surface area = Total area of rectangles + Total area of squares
Surface area = 45 square cm + 27 square cm
Surface area = 72 square cm
So, the surface area of the box shown in the net is 72 square cm.