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## 123F Group Title What is the volume of this composite solid? A)588in3 B)784in3 C)915in3 D)980in3 3 years ago 3 years ago

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1. 123F Group Title

2. dpflan Group Title

looks like this is made up of 3 objects: 2 cubes and a triangular prism

3. 123F Group Title

yes

4. dpflan Group Title

you have all the dimensions, so you just need to find the volume of each object and sum them

5. 123F Group Title

yes

6. 123F Group Title

but how?

7. dpflan Group Title

volume is $length * width * height$

8. dpflan Group Title

for instance, with the first rectangular prism on the left, 8in by 7in by 7in

9. 123F Group Title

cool

10. 123F Group Title

triangular prism?

11. dpflan Group Title

volume is the product of those 3 values, and the same for the other rectangular prism, now with the triangular prism just remember that $A=\frac{1}{2}*base*height$

12. dpflan Group Title

so you then multiply A by the 3rd dimension

13. 123F Group Title

so, length∗width∗height A=1\2∗base∗height

14. dpflan Group Title

and because you are multiplying values with "inches" as the units, the volume is in inches cubed, $in^3$

15. 123F Group Title

thank you

16. dpflan Group Title

no problem, if you need to check your answer I'm around

17. Moderator Group Title

hey moderator my computer say its forbidden to get on here why is that

18. 123F Group Title

what do i use for the triangular prism?

19. 123F Group Title

dpfan

20. dpflan Group Title

yes?

21. dpflan Group Title

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....

22. 123F Group Title

7*7*8 = 392 7*7*8 = 392 8*7/2=28 so 392+392+28=812in3