ANSWER THE FOLLOWING :-
1. Find the total surface area and the lateral surface area of a cuboid with length 10cm,breadth 8cm,and height 5cm.
2. Find the side of a cube whose surface area is 2400 sq.cm.
3. Find the total surface area and the lateral surface area of a cube of side 12cm.
4. Find the total surface area and the lateral surface area of a cuboidal box of measures 16cm by 12cm by 9cm.
5. A room is 7m long, 7m wide, and 3.5m high. Find the cost of covering its walls with a wall paper at the rate of Rs. 3 per sq.m.
6. Find the lateral surface area, total surface area and volume of a cylinder in which the base radius is 14cm and the height is 28cm.
Answers
Answer:
Solution1,
total surface area of cuboid= 2(lb+bh+hl)
lateral surface area of cuboid=2h(l+b)
solution 2,
total surface area of cube= 6s^2
2400= 6s^2
Solution 3,
lateral surface area of cube= 4s^2
total surface area of cube=6s^2
Solution 4,
total surface area of cuboid = 2(lb+bh+hl)
lateral surface area of cuboid=2h(l+b)
Solution 5,
total surface area of cuboid = 2(lb+bh+hl)
cost= 3x2(lb+bh+hl)
Solution 6,
total surface area of cylinder=2πr(r+h)
lateral surface area of cylinder=2πrh
volume of cylinder= πr^2h
Now, you can solve by this formula.
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Answer:
1. Remember the surface area is the total area of all the faces of a 3D shape.
The lateral surface area of a cuboid is given by:
LSA = 2 (lh + wh) = 2 h (l + w)
Example 1: Find the total surface area of a cuboid with dimensions 8 cm by 6 cm by 5 cm.
TSA = 2 (lw + wh + hl)
TSA = 2 (8*6 + 6*5 + 5*8)
TSA = 2 (48 + 30 + 40)
TSA = 236
So, the total surface area of this cuboid is 236 cm2.
2. a=20
A Surface area
2400
3. Lateral surface area of cube = 4 × (l) square units. = 4 × 12cm × 12cm = 4 × 144cm = 576cmsquare.
4. Given that l=20cm, b=12cm, h=9cm
∴T.S.A=2(lb+bh+lh)
=2[(20×12)+(12×9)+(20×9)]
=2(240+108+180)
=2×528
∴T.S.A=1056cm
2
5. answer is in pic
The Surface Area of Cylinder = Curved Surface + Area of Circular bases
S.A. (in terms of π) = 2πr (h + r) sq.unit
Where, π (Pi) = 3.142
r is the radius of the cylinder
h height of the cylinder
