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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

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

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

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IsaiahMaster · 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.

Explain

## Step 1:<br />First, let's discuss what is being asked here.<br />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.<br /><br />## Step 2:<br />For understanding, a cube before freaking out due to the pyramid removal contains 12 edges. <br /><br />## Step 3:<br />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.<br /><br />## Step 4:<br />Add the 12 original edges to the 3 new added-cut edges which gives you a total number of edges.<br /><br />### \( 12 (cube's edges) + 3 (pyramid's base edges) = 15 \)
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