To find the sum of the lengths of the edges of the pyramid, we need to calculate the lengths of all the edges.
Since BP = PC, we can divide MP (which is 12 cm) in half to get BP = PC = 6 cm.
The edges of the pyramid are as follows:
- AB = 10 cm
- AP = 10 cm (height of the pyramid)
- BP = 6 cm
- CP = 6 cm
- MP = 12 cm
- BC = 10 cm (Base of the pyramid)
Now let's find the length of the remaining edge (AC):
AC = sqrt(AP^2 + CP^2)
AC = sqrt(10^2 + 6^2)
AC = sqrt(100 + 36)
AC = sqrt(136)
AC = 11.66 cm (approx)
Now we add up all the lengths of the edges:
10 + 10 + 6 + 6 + 12 + 10 + 11.66 = 55.66 cm
Therefore, the sum of the lengths of the edges of the pyramid is 55.66 cm.
AB = 10 cm, MP = 12 cm and BP = PC
A solid can be made from the net.
( i ) the name of this solid will be a pyramid
Calculate the sum of the lengths of the edges of the solid.
1 answer