Answer :
Answer:
D. 384 units²
Step-by-step explanation:
Hey there!
Well a right square prism's bases are squares meaning the area of the base is 64 units².
Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.
Now we only have 4 sides to find the area of,
h = 12
l/w = 8
A = (12*8) * 4
A = 96 * 4
LSA = 384 units²
Hope this helps :)
The lateral surface area of the given prism of length 12 and its base has a side of length 8 is 384 [tex]units^{2}[/tex]
What is Lateral surface area?
The lateral surface area of an object is the total area of its sides excluding its top and the bottom.
What is a right square prism?
A right square prism is a prism having four sides as rectangle and two sides as squares as its bases.
How to find the lateral surface area of right square prism?
The lateral surface area of right square prism is equal to the area of the four rectangles only. So the formula is as follows:
Lateral surface area=4(length*breadth)
The altitude which is given to us of 12 will be the breadth of the rectangles and the length of base of 8 will be the length of the rectangles. So,
Lateral surface area of right prism=4(12*8)
=4*96
=384
Hence the lateral surface area of right prism of altitude of length 12 and base has a side of length 8 is 384[tex]units^{2}[/tex]
Learn more about lateral surface area at https://brainly.com/question/17056543
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