# A triangular prism has a Surface Area of 48.735 km2. The base of the prism is a triangle with a height of 3 and an unknown base. The distance between the bases of the prism is 12 km. Find the measure of the base of the triangle.

Answer: The surface area of the prism is equal to the summed up area of the faces of the triangular prism.

The bases of the prism would be triangles with an unknown base, b, and height of 3. The area of the base is calculated through the equation,
A = bh/2
where b is base and h is height. Substituting the values,
A = b(3)/2

Since there are two bases, the contribution of the triangles for the surface area is,
2A = 3b

Next we calculate for the area of the triangle sides with length equal to b (same as the base of the triangle).
Area = b(12 km)
There are 3 sides such that the total area becomes,
Area = 36b

Hence, the surface area is,
48.735 km² = 3b + (36b)

The value of b from the equation is 1.25 km

## Related Questions

Write this expression in words 8+16=24

The sum of eight and sixteen is equal to twenty-four

Is the proper way to word the expression

eight plus sixteen is equal to 24

Write 79/150 as a decimal

Here bro this is your answer 0.52666666666667
0.526667 would be the answer as you  divide 79 by 150

-7×-3×=-8×-8

x = 4

Step-by-step explanation:

The expression P(z<1.00)= represents the area under the standard normal curve below a given value of z. Use your standard normal table to find the indicated area. Use a sketch of the standard normal curve with the appropriate area shaded to help find the answer. What is the value of P(z<1.00)= ? Express your answer rounded to 4 decimal places. Enter your answer in the box. P(z<1.00)=

The value of P(z

0.8413

Step-by-step explanation:

0.8413

What is the total cost of \$ 2.95 notebook plus 5 %

First, you convert 5% to decimal. For your info, percents are always equal to 100. So, you divide 5 by a 100, which gives you 0.05. Then, you multiply 2.95 by 0.05. 2.95 x 0.05 is 0.1475 which is about 0.15. Then, you add 0.15 to 2.95. The total cost of a \$2.95 notebook plus 5% is about \$3.10.

Word Problem: The Merryweathers want a new square rug for their living room. If the living room is 20 ft x 16 ft, will the square rug with an area of 289 square feet fit? Explain your answer.

Square root  of 289  =  17 ft

so this rug would not fit the room because  one side is 16 ft long.

Problem page the length of a rectangle is 6 cm longer than its width. if the perimeter of the rectangle is 40 cm , find its area.

P = 2(L + W)
P = 40
L = W + 6

40 = 2(W + 6 + W)
40 = 2(2W + 6)
40 = 4W + 12
40 - 12 = 4W
28 = 4W
28/4 = W
7 = W....so the width is 7 cm

L = W + 6
L = 7 + 6
L = 13....and the length is 13 cm

the area is the length times the width
A = L * W
A = 13 * 7
A = 91 cm^2

I am a polyhedron. I am a prism.
my two bases are hexagon.
my two other faces are rectangles.

It is a Hexagonal prism

A musician uploads a music video to the Internet and sends a link to the video to 4 friends. Each friend then sends the link to 4 different friends. These 4 friends then send the link to 4 different friends. The musician estimates that about 25% of the people who get the link won't view the video. Complete and evaluate an expression to show how many friends the musician estimates will see the video.

48

Step-by-step explanation:

48 people went see the link to the video