What is the surface area of the triangular pyramid? Use the net of the pyramid to find the surface area.

Mathematics

2 answers:

Sav [38]3 years ago

7 0

What we must do is observe that the triangles have the same measurements.
We have then that the surface area is:
A = (4) * (1/2) * (b) * (h)
Where,
b: base of the triangle
h: height of the triangle
Substituting values:
A = (4) * (1/2) * (8) * (6.9)
A = 110.4 cm ^ 2
Answer:
The surface area of the triangular pyramid is:
A = 110.4 cm ^ 2

Dafna1 [17]3 years ago

6 0

Each of the triangles making up the sides and base have a base of 8 cm and a height of 6.9 cm. Then the area of the pyramid is that of 4 such triangles.
A = 4×(1/2)×b×h
A = 2×(8 cm)×(6.9 cm)
A = 110.4 cm²

The surface area of the triangular pyramid is 110.4 cm².

You might be interested in

It costs $0.60 per ft² to cover a right triangular field with sod. The side lengths of the field are 300 ft, 400 ft, and 500 ft.

algol [13]

In this triangle, we know base & perpendicular are 300 & 400 'cause 500 is the longest side which is hypotenuse

Now, Area of a triangle = ab/2 = (300)(400)/2 = 120000/2 = 60000

As cost for 1 ft² = $0.60
cost for 60000 ft² = 60000 * 0.60 = $36000

In short, Your Answer would be Option A

Hope this helps!

8 0

4 years ago

Read 2 more answers

Question 6 of 10

klemol [59]

Answer:

The correct option is C.

Step-by-step explanation:

The quadratic parent function is

$f(x)=x^2$

The translation is defined as

$g(x)=k(x+a)^2+b$ .... (1)

Where, k is vertical stretch, a is horizontal shift and b is vertical shift.

If |k|>1, then graph of parent function stretch vertically by factor |k| and if 0<|k|<1, then parent function compressed vertically by factor |k|. Negative k represents the reflection across x axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The graph shift 1 unit right,vertically stretch by a factor of 5 , reflect over the x-axis. So, a=-1, |k|=5 and k=-5

Substitute a=-1 and k=5 in equation (1).

$g(x)=-5(x+(-1))^2+(0)$