Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (gabylovesyou):

What is the volume of the composite figure?

OpenStudy (gabylovesyou):

OpenStudy (apoorvk):

volume of the cuboid below + volume of the square pyramid above ---> volume of a pyramid = 1/3 * area of base * height

OpenStudy (apoorvk):

how did you get 6?

OpenStudy (gabylovesyou):

nevermind! misread lol

OpenStudy (apoorvk):

then, what answer are you getting?

OpenStudy (gabylovesyou):

idk how do u find area of base of a pyramid?

jimthompson5910 (jim_thompson5910):

area of the base of the pyramid is the same as the area of the base of the cube, which is 6*3 = 18 square yds

OpenStudy (apoorvk):

length time the breadth -- it's a rectangular base.

OpenStudy (gabylovesyou):

@jim_thompson5910 did u do it for this example?

jimthompson5910 (jim_thompson5910):

yes, what did you get for the answer Gabylovesyou?

OpenStudy (apoorvk):

lol - find out yourself - check what the length and the breadth are from your diagram.

OpenStudy (gabylovesyou):

forr the rectangular prism? or the square based pyramid

jimthompson5910 (jim_thompson5910):

for both

jimthompson5910 (jim_thompson5910):

you take the two individual volumes and add them up to get the final answer

OpenStudy (gabylovesyou):

for the rectangular prism the length is 6?

OpenStudy (apoorvk):

anyone one - does it matter? they are conjoined.

jimthompson5910 (jim_thompson5910):

yes, the length is 6, the width is 3 and the height is 5

jimthompson5910 (jim_thompson5910):

this is all for the cube

jimthompson5910 (jim_thompson5910):

or rectangular prism I meant

OpenStudy (gabylovesyou):

so the volume is 90! (of the rectangular prism

jimthompson5910 (jim_thompson5910):

yes, you got it

jimthompson5910 (jim_thompson5910):

the rectangular pyramid's volume is then what?

OpenStudy (gabylovesyou):

90

OpenStudy (apoorvk):

Yes, right at that. now the next part - the pyramid.

OpenStudy (gabylovesyou):

what is the base of the pyramid 6 or 3?

jimthompson5910 (jim_thompson5910):

they both form the base

jimthompson5910 (jim_thompson5910):

one's the length of the base and the other is the width of the base

jimthompson5910 (jim_thompson5910):

Area of base of pyramid = length * width = 6*3 = 18 square yds

OpenStudy (gabylovesyou):

The volume of the square based pyramid is 24 so 90 + 24 = 114! Right??

jimthompson5910 (jim_thompson5910):

you nailed it, very nice job

OpenStudy (gabylovesyou):

yaaaaaaaaaay!!!!!!!!!!!!!!

jimthompson5910 (jim_thompson5910):

lol

OpenStudy (gabylovesyou):

lol

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!