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

Question

anonymous · Answer

attachment

anonymous · Answer

help please

anonymous · Answer

lol Smiley, what a diagram.

anonymous · Answer

Smiley, is the base 9 x 9?

anonymous · Answer

lol i know cant draw as good..

anonymous · Answer

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 · Answer

I'm thinking it's answer c.

anonymous · Answer

length is 9 and the width is 9 and the height is 12

anonymous · Answer

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 · Answer

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 · Answer

The total volume is just the sum of them:

972 in^3 + 486 in^3 = 1458 in^3

anonymous · Answer

wait...I didn't take the third of the base...

anonymous · Answer

$$V_{pyramid}=\frac{1}{3} \times 9 \times 9 \times 6 = 162$$

anonymous · Answer

So volume is 1134 cubic inches.

anonymous · Answer

Like I said before, answer c.

anonymous · Answer

Got it, thanks totally understandable

anonymous · Answer

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