The volume of a cuboid is 192 square centimeters, the bottom is a square with side length of 8 centimeters, and the surface area of the cuboid is ()

The volume of a cuboid is 192 square centimeters, the bottom is a square with side length of 8 centimeters, and the surface area of the cuboid is ()


The volume of a cuboid is 192 cubic centimeters, the bottom is a square with side length of 8 centimeters, and the surface area of the cuboid is (224 square centimeters)



The bottom of a cuboid is a square. After its side is expanded, it is a cuboid with a side length of 8 cm. What is the volume of the cuboid?
I've got the wrong number. It unfolds into a square with a side length of 8 cm


The height of the cuboid is 8 cm
The length and width of the cuboid are 8 / 4 = 2 cm
Cuboid volume = 2 * 2 * 8 = 32 CC



It is known that abcd-a'b'c'd 'is a cube with edge length of 3, point E is on AA', point F is on CC ', point G is on BB', and AE = FC '= b'g = 1, h is b'c'
It is known that abcd-a'b'c'd 'is a cube with edge length of 3, point E is on AA', point F is on CC ', and G is on BB', and AE = FC '= b'g = 1, h is the midpoint of b'c'. Prove that e, B, F, d 'are coplanar; prove that plane a'gh is parallel to plane bed'f


Because abcd-a'b'c'd'is a cube
Because AE = c'f = 1
We can get that BAE of triangle is equal to d'c'f of triangle
Because AE is parallel to c'f and ab is parallel to c'd ', be is parallel to d'f
So the four points e, B, F and d 'are coplanar (two parallel lines determine a plane)



The power of 2007 minus one seventh multiplied by the power of 2008 minus seven equals?
do somebody a favour


(- 1 / 7) to the power of 2007 * 7 to the power of 2008
=2007 power of (- 1 / 7 * 7) * 7
=2007 power of (- 1) * 7
=-1*7
=-7



As shown in the figure, the line PM vertically bisects the line AB, and the line PN vertically bisects the line BC, connecting PA and PC, then the size relationship between PA and PC is as follows:
A:PA>PC
B:PA<PC
C:PA=PC
D: None of the above is true


Line PM vertical bisector AB PA = PB
Straight line PN vertical bisector BC Pb = PC
So PA = PC



80 * 1 / 4 + 3x = 95


3/5X=75 X=125



Given that the height of the cone is 3cm and the bottom radius is 4cm, the side area of the cone is calculated


The bottom radius is 4
Then the arc length of the expanded cone is: π R ^ 2 = π 4 ^ 2 = 8 π
The expanded area is: bottom arc length * height / 2 = 8 π * 4 / 2 = 16 π (cm ^ 2)



At - 54, - 53, - 52, - 51 ,1,2,3,… ,48,49,… What is the sum of the first 100 integers in this series?


Because the sum of two opposite numbers is 0, the sum of the first 100 numbers in the original permutation is - 54 - 53 - 52 - 51 - 50 - 49 - 48 - 47 - 46 and - 450



Given that the equation of a circle is x ^ 2 + y ^ 2 + 2x-8y + 8 = 0, then the tangent equation of a circle made by passing through point P (2,0) is x ^ 2 + y ^ 2 + 2x-8y + 8 = 0


X ^ 2 + y ^ 2 + 2x-8y + 8 = 0 --- > (x + 1) ^ 2 + (y-4) ^ 2 = 9, the center of the circle is (- 1.4), the radius is 3x = 2, obviously it is a tangent line. Let all other lines be y = k (X-2) = kx-2k, the distance from the center of the circle to the straight line be 3:3 ^ 2 = (- k-2k-4) ^ 2 / (1 + K ^ 2) = (3K + 4) ^ 2 / (k ^ 2 + 1) 9K ^ 2 + 9 = 9K ^ 2 + 24K + 16K = - 7 / 24



Factorization: A3 + 3a2 + 3A + 1
A followed by index


a3+3a2+3a+1
=(a3+2a2+a)+(a2+2a+1)
=(a+1)(a2+2a+1)
=(a+1)3