Question

FAN AND MEDAL!!

Find the volume of the composite solid. Round your answer to the nearest hundredth.

Answer 1

this is made up of a rectangular prism and a rectangular pyramid

volume of the prism = height * width * length = 5.5 * 6.2 * 6.7

Answer 2

whats the answer then?

Answer 3

Volume of the pyramid = 1/3 * area of its base * height

Answer 4

well please work out the volume of the prism first

Answer 5

ok

Answer 6

I'll guide you through the process but I won't give the answer.

Answer 7

ok

Answer 8

so the volume of the prism is 288.47?

Answer 9

i think theres a typo there Its 228.47

Answer 10

oh, yeah whoops

Answer 11

Now the base of pyramid is same as base of the prism = 6.2* 6.7 = 41.54

we need to work out its perpendicular height
we can do this from its slant height by using the following triangle

Answer 12

im in a huge hurry so it would be great if u could type faster, thanks. sorry

Answer 13

ok

Answer 14

height = sqrt (5.8^2 - 3.35^2)

Answer 15

so vol of pyramid = 1/3 * above result * 41.54

add this to 228.47 and you have the answer

Answer 16

help me do that lol

Answer 17

what do you get for 5.8^2 - 3.35^2 ?

Answer 18

use calculator

Answer 19

2.45^2?

Answer 20

no
just find 5.8 * 5.8 and 3.35 * 3.35 and subtract the results

Answer 21

5.8^2 = 33.64
3,35^2 = ?

Answer 22

22.4175 is the answer for 5.8 * 5.8 - 3.35 * 3.35

Answer 23

correct
now take square root of that

Answer 24

4.73471224

Answer 25

right so volume of pyramid = 1/3 * 4.7347*41.54

Answer 26

when youve found that add it to the vol of prism which is 228.47

Answer 27

294.029813?

Answer 28

final answer

correct

Answer 29

THANK YOU

Answer 30

yw