Length breadth and height of cuboid shape box of medicine is 20 CM 12 cm and 10cm respectively find the surface area of vertical faces and total surface area of this box
Answers
★ Given:-
- The surface area of vertical faces = 640 cm²
- Total surface area of this box = 1120 cm²
★ Point to remember:-
Length, breadth and height of a cuboid shape box of medicine are 20cm, 12 cm and 10 cm respectively.
★ Using formula:-
- Surface area of vertical faces = 2 × ( length × height + Breadth × Height)
= 2 × ( 20 × 10 + 12 × 10)
= 2 × (200 + 120)
= 2 × 320
Therefore,Surface area of vertical faces = 640 cm²
★ Using formula:-
- Total surface Area = Surface area of vertical faces + 2 × Length × Breadth
→ Total surface Area = 640 + 2 × 20 × 12
→ Total surface Area = 640 + 480
→ Total surface Area = 1120 cm²
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Answer-
Surface area of vertical faces = 640
Total area of box = 1140cm²
Step by Step Explanation-
Given -
Length breadth and height of Cuboid shape box of medicine is 20cm, 12cm, 10cm
Need to find - The surface area of vertical faces and total surface area of box
So, we know that
surface area of vertical faces = 2( l × H + B × H)
Where , L = length, h = hight, B = Breadth
Now,
putting the value
= 2 ( 20 × 10 + 12 × 10 )
= 2 ( 200 + 12 × 10)
= 2 ( 200 + 120 )
= 2 × 320
= 640
Now, we need to find total surface area
and we know that surface area = surface area of vertical faces + 2 ×( length × breadth )
Now,
= 640 + 2 × 240
= 640 + 480
= 1120 cm²