A rectangular block of metal is 27cm long, 7cm wide and 12cm high.
1 answer:
Answer:
length of side of newly formed cube = 13.13cm
Step-by-step explanation:
the volume of the rectangular metal block (V)=
length (L) × width (B) × height (H)
=》V = 27 × 7 × 12
=》V = 2268 cubic cm
and if it is melted and casted into a metal cube, then the volume remains the same
so, volume of cube = 2268 cubic cm
now,
let the measures of sides of the cube formed be a
volume of cube (V) =
=》
=》
=》
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From the given information, we get the value of ABC = 120°.
<h3>How to estimate the value of ABC?</h3>
Given: In the figure, O exists the center of the circle and OABC exists as a parallelogram.
Now, the radius of the circle exists
OA = OB = OC
Opposite sides of a parallelogram are equal
AB = OC and OA = BC
In ∆OAB,
OA = OB = AB and,
In ∆OCB,
OC = OB = BC
Therefore, ∆OAB and ∆OCB exist in equilateral triangles.
All angles of an equilateral triangle are equivalent to 60°.
Hence, ∠ABC = ∠OBA + ∠OBC
∠ABC = 60° + 60°
∠ABC = 120°
Therefore, the value of ∠ABC = 120°.
To learn more about parallelogram refer to:
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