Question
A triangular pyramid with vertices T. U V and Q is removed from the solid cube shown. How many edges does the remaining solid have? A 4 B 6 C 8 D 10 E 12
Answer
4.2
(234 Votes)
Isaiah
Master · Tutor for 5 years
Answer
The remaining solid has 15 edges, which means none of the options given (A, B, C, D, and E) is the correct one. Therefore, I would suggest checking the question once again as it seems there is some inconsistency here.
Explanation
## Step 1:First, let's discuss what is being asked here.We start with a solid cube. From this cube, a triangular pyramid (known as a tetrahedron) is removed. What is left is the remaining solid cube with a missing part, and we need to determine the number of edges of that remaining shape.## Step 2:For understanding, a cube before freaking out due to the pyramid removal contains 12 edges. ## Step 3:However, post the pyramid your shape doesn't lose any of its edges, yet, it will profit in 3 more edges from the triangular pyramid.## Step 4:Add the 12 original edges to the 3 new added-cut edges which gives you a total number of edges.### \( 12 (cube's edges) + 3 (pyramid's base edges) = 15 \)