How does the net of a fish tank with no lid compare to the net of a fish tank with its lid on?(1 point)
Responses
A: Both the nets are identical.
B: The net of the fish tank with no lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the fish tank with its lid comprises six rectangles, three pairs of congruent rectangles.
C: The net of the fish tank with a lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the fish tank with no lid comprises six rectangles, three pairs of congruent rectangles.
D: The net of the fish tank with no lid has four rectangular faces, two pairs of congruent rectangles, and the net of the fish tank with its lid has six rectangular faces, three pairs of congruent rectangles
Yes, that is correct. Option B is the correct answer in this case.
B: The net of the fish tank with no lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the fish tank with its lid comprises six rectangles, three pairs of congruent rectangles.
can you explain
The net of a shape is a 2D representation of the 3D object when it is unfolded or flattened. In this case, the fish tank is represented by a rectangular prism.
When there is no lid on the fish tank, the net consists of five rectangles - two pairs of congruent rectangles that represent the front and back faces, and one odd rectangle that represents the bottom face. This is because the top face (the lid) is missing, so there are only five faces in the net.
When the fish tank has its lid on, the net consists of six rectangles - three pairs of congruent rectangles to represent the front, back, left, right, and top faces, and one odd rectangle to represent the bottom face. The lid adds another rectangular face to the net, making it a total of six rectangles.
Therefore, option B is correct in stating that the net of the fish tank with no lid has five rectangles, while the net of the fish tank with its lid has six rectangles.