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bagirrra123 [75]
3 years ago
9

Use a net to find the surface area of the right triangular prism shown below: A. 104 square feet

Mathematics
2 answers:
Phoenix [80]3 years ago
6 0
I'd say by rounding and similar techniques the answer is 468, though it doesn't say all the needed numbers.
MakcuM [25]3 years ago
6 0

Answer:  The correct option is (C) 468 sq. ft.

Step-by-step explanation:  We are given to use a net to find the surface area of the right-triangular prism shown in the figure.

Let us divide the net of the prism in three parts, a rectangle ABCD and two congruent right-angled triangles T_1 and T_2 as shown in the attached figure below.

From the figure, we note that

the length and width of the rectangle ABCD are as follows :

AD = 15 + 9 +12 = 36 ft

and

AB = 10 ft.

So, the area of the rectangle ABCD is given by

a_r=AD\times AB=36\times10=360~\textup{sq. ft}.

Now, the base of each right-angled triangle is 9 ft and altitude is 12 ft.

So, the total area of both the right-angled triangle will be

a_t=2\times\dfrac{1}{2}\times 9\times12=108~\textup{sq. ft}.

Therefore, the total surface area of the given right triangular prism is given by

A_s=a_r+a_t=360+108=468~\textup{sq ft}.

Thus, the surface area of the given right-triangular prism is 468 sq. ft.

Option (C) is CORRECT.

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Find the volume of a square based pyramid like you see below if the side of the base is 10 inches and the height of the the tria
Mekhanik [1.2K]

Answer:

The volume of a square based pyramid is <u>645.3 cubic inches</u>.

Step-by-step explanation:

Given:

The side of the base is 10 inches and the height of the the triangular face is 20 inches.

Now, to find the volume of square based pyramid.

Base side (a) = 10 inches.

Slant Height (s) = 20 inches.

Now, to get the height of pyramid by using pythagorean theorem:

Leg 1 = \frac{base}{2}=\frac{10}{2}=5\ inches.

Hypotenuse = 20 inches.

So,

Hypotenuse² = (leg 1)² + (leg 2)²

20^2=5^2+leg2^2\\400=25+leg2^2\\Subtracting\ both\ sides\ by\ 25 \ we\ get:\\375=leg2^2

<em>Using square root on both sides we get:</em>

<em />19.36=leg2<em />

<em>leg 2 = 19.36 inches.</em>

Thus, the height of pyramid = 19.36 inches.

Now, to get the volume of square pyramid we put formula:

h = 19.36 inches.

a = 10 inches.

Volume=a^2\frac{h}{3}

Volume=10^2\times \frac{19.36}{3}

Volume=100\times 6.453

Volume=645.3\ cubic\ inches.

<u><em>Hence, the volume to the nearest tenth is 645.3 cubic inches.</em></u>

Therefore, the volume of a square based pyramid is 645.3 cubic inches.

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3 years ago
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4 cups of surgar / 2 cups of butter
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In AKLM, the measure of ZM=90°, the measure of ZL=76°, and LM = 99 feet. Find
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Step-by-step explanation:

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Carrie has 0.125 more than Larry, Larry has 3/4 more than Harry. In total they have 151. How much does Harry have
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Answer:

Carrie has 0.125 more than Larry and Larry has 3/4 more than Harry. Between them Harry, Larry and Carrie have 151. How many does Harry have? Carrie=63, Larry=56, Harry=32.

Step-by-step explanation:

4 0
3 years ago
Question is in the picture:)
Bingel [31]

Answer: It would probably be 30

Step-by-step explanation:

The ratio is 10:0 , 20:10 , 30:20 , 40:30 , 50:40, 60:50 , etc…

so basically you just need to know the ratios!

Hope I could help :)

6 0
2 years ago
Read 2 more answers
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