Maths-
General
Easy
Question
Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.
- 164 cm2
- 120 cm2
- 148 cm2
- 134 cm2
Hint:
Hint:- We have given three different dimensions ,
Total Surface Area(TSA) of cuboid = 2[ lb + bh + hl ]
where
l → length of the cuboid
b → breadth of the cuboid
h → height of the cuboid
The correct answer is: 148 cm2
We will calculate the total surface area of a cuboid by using the following formula:
![text T.S.A. of a cuboid end text equals 2 cross times left square bracket 1 b plus b h plus h l right square bracket](data:image/png;base64,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)
The dimensions of the given cuboid:
Length, l = 4 cm
Breadth, b = 5 cm
Height, h = 6 cm
By using the above formula of the total surface area of the cuboid, we get
The total surface area of the given cuboid is,
= ![2 cross times left square bracket left parenthesis l b right parenthesis plus left parenthesis b h right parenthesis plus left parenthesis h l right parenthesis right square bracket](data:image/png;base64,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)
= ![2 cross times left square bracket left parenthesis 4 cross times 5 right parenthesis plus left parenthesis 5 cross times 6 right parenthesis plus left parenthesis 6 cross times 4 right parenthesis right square bracket](data:image/png;base64,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)
= ![2 cross times left square bracket 20 plus left parenthesis 30 right parenthesis plus left parenthesis 24 right parenthesis right square bracket](data:image/png;base64,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)
= ![2 cross times 74](data:image/png;base64,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)
= 148 cm2
Thus, the total surface area of a cuboid of dimensions 6 cm, 4 cm & 5 cm is 148 cm².
The correct option is C)148 cm².
Note:- In some examples it may be given the surface area and any two dimensions , then we have to adjust the formula such a that we will be able to find out the required value . For eg- If area , length and breadth is given the formula for height becomes
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell fraction numerator text Area end text over denominator 2 end fraction minus l b equals b h plus h l end cell row cell fraction numerator text Area end text over denominator 2 end fraction minus l b equals h left parenthesis b plus l right parenthesis end cell row cell h equals fraction numerator text Area end text over denominator 2 left parenthesis b plus l right parenthesis end fraction minus fraction numerator l b over denominator left parenthesis b plus l right parenthesis end fraction end cell end table](data:image/png;base64,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)
Thus, the total surface area of a cuboid of dimensions 6 cm, 4 cm & 5 cm is 148 cm².
The correct option is C)148 cm².
Note:- In some examples it may be given the surface area and any two dimensions , then we have to adjust the formula such a that we will be able to find out the required value . For eg- If area , length and breadth is given the formula for height becomes
Related Questions to study
Maths-
Factor the given expression.
![9 x squared minus 100](data:image/png;base64,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)
Factor the given expression.
![9 x squared minus 100](data:image/png;base64,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)
Maths-General
Maths-
Factor the polynomial as the product of binomials.
![x squared plus x plus 1 fourth](data:image/png;base64,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)
Factor the polynomial as the product of binomials.
![x squared plus x plus 1 fourth](data:image/png;base64,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)
Maths-General
Maths-
Factor the given expression.
![x squared minus 64](data:image/png;base64,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)
Factor the given expression.
![x squared minus 64](data:image/png;base64,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)
Maths-General
Maths-
A cone has slanted height of 5cm and height of 4cm, its volume (in cm3 ) is
__________
A cone has slanted height of 5cm and height of 4cm, its volume (in cm3 ) is
__________
Maths-General
Maths-
Factor the polynomial as the product of binomials.
![p squared minus 49 over 100](data:image/png;base64,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)
Factor the polynomial as the product of binomials.
![p squared minus 49 over 100](data:image/png;base64,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)
Maths-General
Maths-
What is the volume of a cone having radius of 21cm and height of 5cm?
What is the volume of a cone having radius of 21cm and height of 5cm?
Maths-General
Maths-
What is the radius of a cylinder that has a height of 3 in. and a volume of
?
What is the radius of a cylinder that has a height of 3 in. and a volume of
?
Maths-General
Maths-
How can you determine if a binomial of the form
is factorable using rational constants?
How can you determine if a binomial of the form
is factorable using rational constants?
Maths-General
Maths-
Volume of a right circular cone of radius r and height h is given by __________
Volume of a right circular cone of radius r and height h is given by __________
Maths-General
Maths-
On Saturday , the vacation resort offers a discount on water sports. To take a surfing lesson and go parasailing costs $130. That day 25 people take surfing lessons and 30 people go parasailing. A Total of $ 3650 collected. What is the discounted price of each activity?
On Saturday , the vacation resort offers a discount on water sports. To take a surfing lesson and go parasailing costs $130. That day 25 people take surfing lessons and 30 people go parasailing. A Total of $ 3650 collected. What is the discounted price of each activity?
Maths-General
Maths-
Solve System of equations using Substitution :
Y = 3X + 1
6X - 2Y = -2
Solve System of equations using Substitution :
Y = 3X + 1
6X - 2Y = -2
Maths-General
Maths-
Solve System of equations using Substitution :
X + Y = 175
20X + 16Y = 3,101
Solve System of equations using Substitution :
X + Y = 175
20X + 16Y = 3,101
Maths-General
Maths-
Solve System of equations using Substitution :
5X - Y = -4
Y = 5X - 4
Solve System of equations using Substitution :
5X - Y = -4
Y = 5X - 4
Maths-General
Maths-
A rental Company can set up 3 small tents and 1 large tent in 115 min. They can set up 2 small tents and 2 large tents in 130 min. How much time is required to set up a small tent ?
A rental Company can set up 3 small tents and 1 large tent in 115 min. They can set up 2 small tents and 2 large tents in 130 min. How much time is required to set up a small tent ?
Maths-General
Maths-
Solve System of equations using Substitution :
X + Y = - 4
Y = - X + 5
Solve System of equations using Substitution :
X + Y = - 4
Y = - X + 5
Maths-General