Answer:
26,508
Step-by-step explanation:
To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.
The top= 12 x 24 x 35 = 10,080
The lateral faces: 12 x 37 x 37 = 16,428
Surface Area= 10,080 + 16,428 = 26,508
Answer:
m∠T = 72°
m∠U = 54°
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of two equal sides of an isosceles triangle are equal in measure.
By this property, in the given triangle STU,
Since, ST ≅ TU,
m∠S = m∠U = 54°
Since, sum of interior angles of a triangle is 180°
m∠T + m∠S + m∠U = 180°
m∠T + 54° + 54° = 180°
m∠T = 180° - 108°
m∠T = 72°
Sorry I do not know. Sorry to let you down
Answer:
ferris wheel travel approx = 434.72 ft
Step-by-step explanation:
given data
wheel rotates = 9pi/8 radians
total height of the ferris wheel = 246 ft
solution
we can say here that height of the ferris wheel is same as the diameter of the wheel
and wheel is circular in shape
so we get here first radius of wheel that is
radius = half of diameter ..........................1
put here value and we get
radius = 0.5 × 246
radius = 123 ft
and
wheel travel distance = length of arc by a angle of wheel rotates
so here length of arc will be
arc length = radius × wheel rotates angle .....................2
put here value and we get
arc length = 123 ×
arc length = 434.7178 ft
so ferris wheel travel approx = 434.72 ft
Answer:
C. 14 metres cubed
Step-by-step explanation:
The volume of a sphere is denoted by:
, where r is the radius, while the volume of a cylinder is denoted by:
, where r is the radius and h is the height.
Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:


πr³ = 21/2 = 10.5
Now plug this into the volume of a sphere formula:


The answer is C, 14 metres cubed.