The given figure shows the net of a cuboid whose height is 0.5m. if the top face of a cuboid is a square and the area of each side face is 2
m² the area of the bottom face( in m²)will be
Answers
Step-by-step explanation:
side of square=2/0.5
= 2×10/5
=20/5
=4m
area of bottom face= 4×4=16 square metre
Answer:
The area of the bottom face (square) is 16m².
Step-by-step explanation:
Given : A net of a cuboid whose height is 0.5m.
The top face of the cuboid is a square.
The area of each side face is 2m².
To find : The area of the bottom face (in m²).
Solution :
Since the given figure is a cuboid with its top face being square, then the bottom face will also be a square.
The remaining side faces will be rectangle in shape.
As given, Area of each side face =2m².
That is, area of rectangle = 2m².
l × b = 2m² (∵ area of rectangle = l × b)
l × 0.5 = 2 (∵ here, one of the measure of the rectangular side, height = 0.5, is given . we will consider it to be the breadth.)
Then, l = 2 ÷ 0.5 = 2 × 10 = 20 = 4.
0.5 ×10 5
∴ The length = 4m.
Then the side of the bottom face (square) will be of measure 4m.
Now, the area of the bottom face = area of square
= side × side
= 4 × 4 = 16m².
∴The area of the bottom face = 16m².
[ The area of a square is defined as the total number of unit squares in the shape of a square or it is the space occupied by the square.]
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