anonymous
  • anonymous
Kenton stacked a right square pyramid on top of a rectangular prism to create a model house. the dimensions are shown in the diagram. What is the volume of the model house? a. 972 cubic inches b. 1458 cubic inches c. 1134 cubic inches d.648 cubic inches
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
anonymous
  • anonymous
help please
anonymous
  • anonymous
lol Smiley, what a diagram.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Smiley, is the base 9 x 9?
anonymous
  • anonymous
lol i know cant draw as good..
anonymous
  • anonymous
You need to help me out before I can help. Just write out for me Length = Width = Height = and I'm assuming the perpendicular height for the pyramid is 6 inches...
anonymous
  • anonymous
I'm thinking it's answer c.
anonymous
  • anonymous
length is 9 and the width is 9 and the height is 12
anonymous
  • anonymous
Volume of the house = (volume of rectangular prism) + (volume of pyramid). Now, for the rectangular prism volume:\[V=(base)(length)(height)=9 \times 9 \times 12=972 inches^3\]
anonymous
  • anonymous
and the volume of the pyramid is given by \[V_{pyramid}=\frac{1}{3}(base_.area)(perpendicular_.height)\]\[=9 \times 9 \times 6 = 486 inches^3\]
anonymous
  • anonymous
The total volume is just the sum of them: 972 in^3 + 486 in^3 = 1458 in^3
anonymous
  • anonymous
wait...I didn't take the third of the base...
anonymous
  • anonymous
\[V_{pyramid}=\frac{1}{3} \times 9 \times 9 \times 6 = 162\]
anonymous
  • anonymous
So volume is 1134 cubic inches.
anonymous
  • anonymous
Like I said before, answer c.
anonymous
  • anonymous
Got it, thanks totally understandable
anonymous
  • anonymous
Great - become a fan!

Looking for something else?

Not the answer you are looking for? Search for more explanations.