Option B:
1008 is the closest estimate of the volume in cubic millimeter.
Solution:
Base of the triangle (b) = 12.3 mm
Height of the triangle (h) = 8.2 mm
Length of the prism (l) = 20.5 mm
To find the volume of the triangular prism:
Volume of the triangular prism formula:
[tex]$\frac{1}{2} \times b \times h \times l[/tex]
Substitute the given values in the formula.
Volume of the prism = [tex]\frac{1}{2} \times b \times h \times l[/tex]
[tex]$=\frac{1}{2} \times 12.3 \times 8.2 \times 20.5[/tex]
[tex]$=\frac{1}{2} \times2067.63[/tex]
= 1033.815
Volume of the prism = 1033.815 cubic mm
To find the closest estimate:
In the given options the closes volume is 1008 cubic mm.
Option C is the correct answer.
Hence 1008 is the closest estimate of the volume in cubic millimeter.
