Answer:
The total surface area of this object is 510 cm^2.
Step-by-step explanation:
Here L = 12 cm, W = 7 cm and H = 9 cm.
There are 2 panels 12 by 9 cm, 2 panels 12 by 7 cm, and 2 panels 7 by 9 cm. The combined areas are:
2(108 cm^2) + 2(84 cm^2) + 2( 63 cm^2) = 510 cm^2 total area
To find how much space remains in the box, you will find the total space of the box by finding the volume of it. Then you will subtract the volumes of the 2 triangular prisms. The remaining would be the extra space.
Volume of Rectangular Prism - 2(Volume of the Triangular Prism)
Bh - Bh
(3 x 6 x 4) - 2 [(1/2 x 2 x 5) x 3]
72 cubic feet - 30 cubic feet
42 cubic feet
There are 42 cubic feet of space remaining.
All of the following numbers are rational
The value of x and y is 5 , 7
<h3>What is an Equation ?</h3>
An expression consists of variables , constants and mathematical operators , when equated by any other algebraic expression or a constant it becomes an equation.
The equation given in the question is
(x + 1)/2 -(y+4)/11 = 2
(x+3) /2 + (2y+3)/17 = 5
It has to be solved for x and y ,
The simplification of the equation has to be done
and the equation is
11x-2y = 41 -----------1
and
17x +4y = 113 -------------------2
to find the solution elimination method will be followed as
Multiplying equation 1 by 2 and adding the both equations
39x = 195
x = 5
Substituting this value in equation 1
55 -2y = 41
y = 7
The value of x and y is 5 , 7
To know more about Equation
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