Question

What is the volume of this composite solid?
A)588in3

B)784in3

C)915in3

D)980in3

Answer 1

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

Answer 2

yes

Answer 3

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

Answer 4

yes

Answer 5

but how?

Answer 6

volume is \[length * width * height\]

Answer 7

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

Answer 8

cool

Answer 9

triangular prism?

Answer 10

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

Answer 11

so you then multiply A by the 3rd dimension

Answer 12

so,
length∗width∗height

A=1\2∗base∗height

Answer 13

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

Answer 14

thank you

Answer 15

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

Answer 16

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

Answer 17

what do i use for the triangular prism?

Answer 18

dpfan

Answer 19

yes?

Answer 20

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....

Answer 21

7*7*8 = 392

7*7*8 = 392

8*7/2=28

so 392+392+28=812in3

Answer 22

but 812 is not in the decisions