A cube is of side cut from its angle so that an octagon forms on each face of the cube the find volume of remaining solid
Answers
Answered by
0
Answer:
Let the side of the octagon formed from the square be 'x' cm.
The portion cut forms a right angled triangle. Length of each side of the triangular portion of the paper cut from the corners of the paper = (8 - x)/2
⇒ x2 = [(8 - x)2 / 4] + [(8 - x)2 / 4]
⇒ x2 = [(8 - x)2 / 4] + [(8 - x)2 / 4]
⇒ x2 = 2 [(8 - x)2 / 4]
⇒ x2 = [(8 - x)2 / 2]
⇒ x2 + 16x - 64 = 0
⇒ x = -8 + 8√2, -8 - 8√2
⇒ x = 3.31 or -19.31
Step-by-step explanation:
Similar questions