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What is the volume of this composite solid?
A)588in3
B)784in3
C)915in3
D)980in3
 2 years ago
 2 years ago
What is the volume of this composite solid? A)588in3 B)784in3 C)915in3 D)980in3
 2 years ago
 2 years ago

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dpflanBest ResponseYou've already chosen the best response.2
looks like this is made up of 3 objects: 2 cubes and a triangular prism
 2 years ago

dpflanBest ResponseYou've already chosen the best response.2
you have all the dimensions, so you just need to find the volume of each object and sum them
 2 years ago

dpflanBest ResponseYou've already chosen the best response.2
volume is \[length * width * height\]
 2 years ago

dpflanBest ResponseYou've already chosen the best response.2
for instance, with the first rectangular prism on the left, 8in by 7in by 7in
 2 years ago

dpflanBest ResponseYou've already chosen the best response.2
volume is the product of those 3 values, and the same for the other rectangular prism, now with the triangular prism just remember that \[A=\frac{1}{2}*base*height\]
 2 years ago

dpflanBest ResponseYou've already chosen the best response.2
so you then multiply A by the 3rd dimension
 2 years ago

123FBest ResponseYou've already chosen the best response.0
so, length∗width∗height A=1\2∗base∗height
 2 years ago

dpflanBest ResponseYou've already chosen the best response.2
and because you are multiplying values with "inches" as the units, the volume is in inches cubed, \[in^3\]
 2 years ago

dpflanBest ResponseYou've already chosen the best response.2
no problem, if you need to check your answer I'm around
 2 years ago

ModeratorBest ResponseYou've already chosen the best response.0
hey moderator my computer say its forbidden to get on here why is that
 2 years ago

123FBest ResponseYou've already chosen the best response.0
what do i use for the triangular prism?
 2 years ago

dpflanBest ResponseYou've already chosen the best response.2
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....
 2 years ago

123FBest ResponseYou've already chosen the best response.0
7*7*8 = 392 7*7*8 = 392 8*7/2=28 so 392+392+28=812in3
 2 years ago
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