Question

please help!
The triangular prisms are similar. Find the volume of the larger prism. Round your answer to the nearest hundredth.
A 85.33
B 86.38
C 87.07
D 88.16

Answer 1

@jim_thompson5910 can you help!

Answer 2

what is the area of this triangle

Answer 3

6

Answer 4

correct

Answer 5

now multiply this by the depth of the prism

(area of triangle)*(depth) = 6*6 = 36

so the volume of the smaller prism is 36 cubic inches

Answer 6

if we solve

8/6 = x/3

we get x = 4

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and if we solve

8/6 = y/4

we get y = 5.333 approximately

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what is the volume of this triangle?

Answer 7

10.67

Answer 8

now multiply that area by the depth of the larger prism

10.67*8 = 85.36

Answer 9

there is some round off error, it should be 85.3333333333344 approximately

Answer 10

thank you!!!

Answer 11

np