Question

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?

Answer 1

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

Answer 2

ANSWER CHOICES
90 cm3

60 cm3

6 cm3

96 cm3

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

No, in the pyramid formula b = area of base

Answer 7

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

Answer 8

I am getting 96cm^3

Answer 9

Show your work

Answer 10

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

Answer 11

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

Answer 12

Good job