123F
What is the volume of this composite solid?
A)588in3
B)784in3
C)915in3
D)980in3
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123F
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dpflan
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looks like this is made up of 3 objects: 2 cubes and a triangular prism
123F
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yes
dpflan
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you have all the dimensions, so you just need to find the volume of each object and sum them
123F
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yes
123F
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but how?
dpflan
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volume is \[length * width * height\]
dpflan
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for instance, with the first rectangular prism on the left, 8in by 7in by 7in
123F
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cool
123F
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triangular prism?
dpflan
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volume is the product of those 3 values, and the same for the other rectangular prism, now with the triangular prism just remember that \[A=\frac{1}{2}*base*height\]
dpflan
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so you then multiply A by the 3rd dimension
123F
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so,
length∗width∗height
A=1\2∗base∗height
dpflan
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and because you are multiplying values with "inches" as the units, the volume is in inches cubed, \[in^3\]
123F
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thank you
dpflan
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no problem, if you need to check your answer I'm around
Moderator
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hey moderator my computer say its forbidden to get on here why is that
123F
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what do i use for the triangular prism?
123F
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dpfan
dpflan
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yes?
dpflan
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looking at the picture, it looks as though the length of the left side the triangle is equal to 8 and the length of the other side is equal to 7....
123F
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7*7*8 = 392
7*7*8 = 392
8*7/2=28
so 392+392+28=812in3
_Bugzbunny_
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but 812 is not in the decisions