Question

The triangular prism shown below is 6 cm wide and 4 cm deep. The vertical height is 7 cm. What is the length of the side edge, s, of the triangular prism? Round your answer to the nearest tenth.

Answer 1

Width: w=6 cm
Depth: d=4 cm
Height: h=7 cm
Side edge: s=?

s=sqrt [ (w/2)^2+h^2 ]
s=sqrt [ (6 cm / 2)^2+(7 cm)^2]
s=sqrt[ (3 cm)^2 + 49 cm^2 ]
s=sqrt (9 cm^2+49 cm^2)
s=sqrt (58 cm^2)
s=sqrt(58) cm
s=7.615773106 cm
s=7.6 cm

Answer: The length of the side edge, s, of the triangular prism is 7.6 cm