The correct volume of the letter is given by option D. [tex]24,000[/tex] [tex]mm^{3}[/tex]
What is rectangular prism?
"A rectangular prism is a three-dimensional structure that uses rectangles as parallel bases."
Formula to calculate the volume of rectangular prism:
[tex]V=lwh[/tex]
where, [tex]V[/tex] represents the volume of the rectangular prism.
[tex]l[/tex] represents the length
[tex]w[/tex] represents the width
[tex]h[/tex] represents the height
For given situation,
Let [tex]V_{1}[/tex] represents the volume of horizontal rectangular prism and [tex]V_{2}[/tex] represents the volume of vertical rectangular prism placed above the first horizontal rectangular prism.
Consider horizontal rectangular prism.
Dimensions for this prism: [tex]l=60[/tex] mm
[tex]w=10[/tex] mm
[tex]h=20[/tex] mm
so, the volume of the horizontal rectangular prism will be:
⇒ [tex]V_{1}=60[/tex] × [tex]10[/tex] × [tex]20[/tex]
⇒ [tex]V_{1}=12000[/tex] [tex]mm^{3}[/tex]
Consider the vertical rectangular prism which is placed above the horizontal rectangular prism.
Dimensions for this prism: [tex]l=20[/tex] mm
[tex]w=10[/tex] mm
[tex]h=60[/tex] mm
SO, the volume of the second rectangular prism will be:
⇒ [tex]V_{2}=20[/tex] × [tex]10[/tex] × [tex]60[/tex]
⇒ [tex]V_{2}=12000[/tex] [tex]mm^{3}[/tex]
Let, the volume of the letter block "L" is [tex]V[/tex].
⇒ [tex]V=V_{1}+V_{2}[/tex]
⇒ [tex]V=12000+12000[/tex]
⇒ [tex]V=24000[/tex] [tex]mm^{3}[/tex]
So, the volume of the letter block “L” is [tex]24,000[/tex] [tex]mm^{3}[/tex]
Hence, the correct answer is option D. 24,000 [tex]mm^{3}[/tex]
Learn more about rectangular prism here:
https://brainly.com/question/21308574
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