OpenStudy (anonymous):

Observe the composite figure below. The bottom shape is a square prism with base edges of 3 cm and a height of 10 cm. What is the volume of the composite figure if the top shape is a right pyramid with a height of 2 cm?

5 years ago
OpenStudy (anonymous):
5 years ago

hero (hero):

I assume by "composite" they mean the total volume.

5 years ago
OpenStudy (anonymous):

ANSWER CHOICES 90 cm3 60 cm3 6 cm3 96 cm3

5 years ago
hero (hero):

Hint: In order to solve this you need to know the formula for the volume for both the square prism and the right pyramid.

5 years ago
OpenStudy (anonymous):

Hero is correct. In case you dont remember the formula for volume, here they are Square prism: l x w x h Pyramid: 1/3 x b x h

5 years ago
OpenStudy (anonymous):

THANKS , I think it's 90 cm^3 is this right?

5 years ago
OpenStudy (anonymous):

No, in the pyramid formula b = area of base

5 years ago
hero (hero):

I just calculated it, and my answer doesn't match any of the answer choices.

5 years ago
OpenStudy (anonymous):

I am getting 96cm^3

5 years ago
hero (hero):

Show your work

5 years ago
hero (hero):

Oh, I used the wrong height for the right pyramid.

5 years ago
OpenStudy (anonymous):

Sure: Volume of Prism = 3 x 3 x 10 = 90 Volume of Pyramid = (1/3) x 3 x 3 x 2 = 6 Combined volume = 90 + 6 = 96

5 years ago
hero (hero):

Good job

5 years ago