Question

If the volume to a triangular prism is 4136
, which of the following responses cannot be the measurements of the prism?
A The measurements are b=22
, h= 8
, h=47
B The measurements of the b=18
, h=3
, h=153.18
C The measurements are b=22
, h=15.04
, h=25
D The measurements of the b=20
,h=4
, h=31

Answer 1

D

Check quickly:
- A: (1/2)(22)(8)(47) = 11·8·47 = 88·47 = 4136.
- B: (1/2)(18)(3)(153.18) = 27·153.18 ≈ 4135.86 (very close to 4136).
- C: (1/2)(22)(15.04)(25) = 11·15.04·25 = 11·376 = 4136.
- D: (1/2)(20)(4)(31) = 10·4·31 = 1240 ≠ 4136.

So D cannot be the measurements.