Question

which three - dimensional figure has double the number of edges as faces? rectangular prism rectangular pyramid triangular prism triangular pyramid

Explanation:

Step1: Recall faces and edges of rectangular prism

A rectangular prism has 6 faces and 12 edges. Since $12 = 2\times6$, it satisfies the condition of having double the number of edges as faces.

Step2: Recall faces and edges of rectangular pyramid

A rectangular pyramid has 5 faces and 8 edges. Since $8
eq2\times5$, it does not satisfy the condition.

Step3: Recall faces and edges of triangular prism

A triangular prism has 5 faces and 9 edges. Since $9
eq2\times5$, it does not satisfy the condition.

Step4: Recall faces and edges of triangular pyramid

A triangular pyramid has 4 faces and 6 edges. Since $6
eq2\times4$, it does not satisfy the condition.

Answer:

rectangular prism