what is the volume of a box that can be created from a sheet of metal that measures 12 inches by 30 inches assume there is no to
1 answer:
Answer:
Step-by-step explanation:
Given that metal sheet is available with dimensions 12x30 inches.
Let x be the side of the square cut from all the four sides so that they can be folded to make open box.
The dimensions of the box would be 12-2x, 30-2x and x
Volume = V(x) =
x can take only values upto 6 since at 6 the length =0
Let x =5
Then volume = 5(20)(2) =200 square inches.
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Answer:
The lateral surface is 120 , which agrees with the third answer option of the list.
Step-by-step explanation:
Notice that the prism has 5 equal lateral faces, which are all rectangles of eight 6". The width of the prisms can be obtained by using the fact that the perimeter of the pentagon is 20", which gives a side length of 20/5 = 4 " which is the same as the with of the lateral rectangles.
Then the lateral area of the prism is:
Lateral area= 5 (6" x 4") = 5 (24) = 120