Question

Find the volume of this right regular pentagonal prism.

Answer 1

area of the base times height

Answer 2

Divide the pentagon into five congruent triangles. What is the measure of the interior angle of each triangle at the vertex in the center?

Answer 3

so that mean 3*7

Answer 4

what is the area of a pentagon?

Answer 5

1/2*ap

Answer 6

what are A and P?

Answer 7

idk but i guess it 21

Answer 8

no thats wrong.

Answer 9

i know that p is 15

Answer 10

what is 1/2 *ap the formula for?

Answer 11

1/2 apothem perimeter

Answer 12

so thats the area of a pentagon.

Answer 13

how do you find the apothem? the perimeter is 25. what is the apothem?

Answer 14

volume is area of pentagon times height
pentagon can split into 5 triangles
area of triangle is 1/2*base*height
base of triangle is 3
height is 1.5tan(54)
AreaTriangle = 3.097
AreaPentagon = 3.097*5 = 15.48
volume = 15.48*7 = 108.39

Answer 15

okay thank you so much and it said that round to the nearest cubic centimeter

Answer 16

your welcome
108.39 is closer to 108 than 109