The volume of an attic - Math Central

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Question from David:

I have small equipment hut that has a small attic space that I want
to blow insulation into it.
The attic size is shaped like a triangle that is about
8 feet by 10 feet by 7 inches at the highest point.
I need to estimate the volume in square feet or cubic feet to
know how many bags of insulation to blow into the space.
Thanks

Hi David,

I think the attic looks something like the diagram below.

attic

If so the volume is $\large \frac12 \normalsize 10 \times 8 \times \large \frac{7}{12} \normalsize = 23 \large \frac13 \normalsize \mbox{ cubic feet.}$

If I have the incorrect shape write back, preferably with a diagram.

Penny

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