Question

The Base of a prism is a regular pentagon with one side measuring 15cm. find the volume and the lateral surface area if the altitude measures 32cm.

Answer 1

LSA=Pe where as:LSAis the lateral surface area, P is the perimeter of a right sector and e is the lenght of a lateral edge
V=Bh where as V is volume and B is the area of the abse and h is the height of the prism
V=Bh=Re where as r is the area of a right section and e is the length of a lateral edge, since Bh=Re and h +esin teta tghe R=Bsinteta

Answer 2

this are the formulas

Answer 3

Here,
side, a = 15 cm

Area = a^2*sqrt[25 +10sqrt(5)] =

= 15^2 * sqrt[25 +22.361] = 1174.23 cm^2 >======< ANSWER

height = 32 cm

VOLUME = 1174.23 * 32 = 37575.494 cm^3 >=====< ANSWER

Answer 4

thank you :)

Answer 5

but how did you get the area?