From a square piece of board the area of 144 m2 , an open box of square base and 2 m in height is made. Find the volume of box and area of of it's walls
Answers
Answer:
volume is 32 and area of walls is 64.(units m2)
Step-by-step explanation:
as area of the box is 144 its side length is 12 as it is square piece (formula of
area of square is equal to side square)
as height is 2m side of the square base will be 12-4=8.
the formula of volume of cuboid =lbh
volume of box =2*2*8=32.
area of its walls are in the shape of rectangles area of the walls of the box is equal to 4*2*8=64
as there are 4 rectangles
Answer:
64m/s
Step-by-step explanation:
Required answer :-
Question:
- From a square piece of board of area 144m^2, an open box of square base and 2 m in height is made. Find the volume of the box and the area of its walls.
Solution:
Given,
- Area of square board = 144cm²
- Height of square board = 2 m
- Breadth of square board = 2 ×2 ×2 =8m
Formulas used:
- Volume of square = Length×Breadth × height
- Area of square = 2( length + breadth) × height
To find:
- Volume of box
- Area of the walls of square
According to the question first we have to calculate the volume of box.
That is,
Volume of square(V) = Length × breadth × height
V = 8m × 8m × 2m
V = 128m³
Now we have to calculate the area of the walls of square
That is,
Area of square(A) = 2 (length + breadth) × height
A = 2 ( 8 + 8 ) × 2
A = 4m × 16m
A = 64m²
Thus volume of box will be 128m³ and area of its wall will be 64m²
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Note:
Refer the attachment as diagram and better understanding.
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