a) Observe all the faces of a cube. b) If each side of the cube is '!', what will be the area of each face? c) Write the area of each of the faces. Are they equal? d) What is the total surface area of a cube of side l'? e) The 2-D representation of a cube is shown below. Find the total surface area of a cube. 5 cm 5 cm
Answers
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Given :-
a) Observe all the faces of a cube.
b) If each side of the cube is '!', what will be the area of each face ?
c) Write the area of each of the faces. Are they equal ?
d) What is the total surface area of a cube of side l'?
e) The 2-D representation of a cube is shown below. Find the total surface area of a cube 5 cm.
Solution :-
Observing all the faces of cube we get, length of all faces are equal and they are square in shape . A cube has 6 faces .
given that,
→ each side od cube is = !
so,
→ Area of each face = (side)² = ( ! )² = !²
area of each faces of cube is equal .
now,
→ side of cube = l
then,
→ TSA of cube = 6 * (l)² = 6l²
now,
→ side of cube = 5 cm
then,
→ TSA of cube = 6 * (5)² = 6 * 25 = 150 cm²
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