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 3 years ago
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
 3 years ago
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

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lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0lol Smiley, what a diagram.

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0Smiley, is the base 9 x 9?

Smiley75
 3 years ago
Best ResponseYou've already chosen the best response.0lol i know cant draw as good..

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0You 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...

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0I'm thinking it's answer c.

Smiley75
 3 years ago
Best ResponseYou've already chosen the best response.0length is 9 and the width is 9 and the height is 12

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0Volume of the house = (volume of rectangular prism) + (volume of pyramid). Now, for the rectangular prism volume:\[V=(base)(length)(height)=9 \times 9 \times 12=972 inches^3\]

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0and the volume of the pyramid is given by \[V_{pyramid}=\frac{1}{3}(base_.area)(perpendicular_.height)\]\[=9 \times 9 \times 6 = 486 inches^3\]

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0The total volume is just the sum of them: 972 in^3 + 486 in^3 = 1458 in^3

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0wait...I didn't take the third of the base...

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0\[V_{pyramid}=\frac{1}{3} \times 9 \times 9 \times 6 = 162\]

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0So volume is 1134 cubic inches.

lokisan
 3 years ago
Best ResponseYou've already chosen the best response.0Like I said before, answer c.

Smiley75
 3 years ago
Best ResponseYou've already chosen the best response.0Got it, thanks totally understandable
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