Answer:
surface area of cube time
Step-by-step explanation:
given data
new volume = 10 time original volume
to find out
what factor surface area change
solution
we consider here side of cube is a
and volume is V
we consider here a is 2
then volume will be v1 = a³ = 2³ = 8
and surface area = 6a² = 6(2)² = 24 ..........1
so if volume increase 10 time
than
V = 10 × v1
a³ = 10 × 8
a³= 80
a = 2 × ∛10
and
surface area increase here
surface area = 6a²
surface area = 6( 2 × ∛10 )²
surface area = 24 × ............2
so from equation 1 and 2
surface area / surface area = 24 × / 24
surface area =
so here surface area of cube will be time
No, it does not.
In general, surface area is the sum of the areas of each face of a prism. In a rectangular prism, we have length, width, and height.
The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w. This means that together, it is 2lw.
The area of the left and right faces of the prism is the same, and can be represented as l*h. This means that together, it is 2lh.
The area of the front and back faces of the prism is the same, and can be represented as w*h. This means that together, it is 2wh.
This gives us the equation
SA = 2lw+2lh+2wh
If we double the length and width, making them each 2l, we then have:
SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
= 2(4lw) + 4lh + 4wh
= 8lw + 4lh + 4wh
If the surface area had been doubled, we would expect
4lw + 4lh + 4wh
No, it is not doubled.
Answer:
Step-by-step explanation: The surface area is the area of the rectangular base (length width) plus the areas of each of the four triangular faces. The area of a triangle is 1/2 base height so all that remains is to find the height of each of the triangular faces.
Step-by-step explanation:
2x + 9° + 3x + 1° =180° (opposite angles of a cyclic quadrilateral are supplementary)
5x + 10° = 180°
5x = 180° - 10°
5x = 170°
x = 34°
Now
Angle A
= 2 * 34° + 9°
= 77°
Hope it will help :)❤