Question

The bottom shape is a square prism with base edges of 4 inches and a height of 12 inches. What is the volume of this composite figure if the top shape is a right pyramid with a height of 3 inches?

208 in3

16 in3

144 in3

192 in3

Answer 1

Well the first thing would be too find the volume of the rectangle prism, which the formula is V = bwh or V = Bh ---- the small b is the base while the big B is the area of the base.
so we plot the information V = (4)(4)(12) V = 192
So the volume of the rectangle prism is 192, now we have to find the right pyramid.
the formula for the right pyramid is V = 1/3Bh; so once again we plot our information.
B = (4)(4) = 16
V = 1/3(16)(3)
V = 1/3(48)
V = 16
Now we add the two volumes to find the volume for the entire figure;
V = 192 + 16
V = 208
Plus we add the in sign since it is in inches, and the cube since it is volume;
the answer would be 208 in^3

Answer 2

Thanks So Much c:

Answer 3

np (: