Question

which shapes will fold into a box with no lid?
a. 1 and 3
b. 2 and 4
c. 1 and 4
d. 2 and 3
e. 3 and 4

Explanation:

Step1: Recall net - of a box concept

A net of a box without a lid is a 2 - D shape that can be folded to form a 3 - D open - top box. For a rectangular prism (box), the net should have 5 faces.

Step2: Analyze Shape 1

Shape 1 can be folded to form a box without a lid. It has the correct number of faces and the right arrangement for folding.

Step3: Analyze Shape 2

Shape 2 cannot be folded into a box without a lid. The arrangement of the squares does not allow for proper folding to form a 3 - D box structure.

Step4: Analyze Shape 3

Shape 3 can be folded to form a box without a lid. It is a valid net for an open - top box.

Step5: Analyze Shape 4

Shape 4 is just a row of 5 squares. It cannot be folded to form a 3 - D box structure as it lacks the necessary connections and shape to form sides and a bottom.

Answer:

A. 1 and 3