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guajiro [1.7K]
2 years ago
6

A triangular prism. The rectangular sides are 3 feet by 2 feet, 3 feet by 2.5 feet, and 3 feet by 1.5 feet. The 2 triangular sid

es have a base of 2 feet and height of 1.5 feet.
Trenton is building a skateboarding ramp in the shape of a triangular prism. According to his plan, the ramp would have a base of 2 feet, a height of 1.5 feet, and a length of 3 feet. The riding surface would measure 2.5 feet.



If Trenton wants to cover all faces of the ramp with plywood, how much plywood will he need to buy?


Trenton will need
square feet of plywood.
Mathematics
1 answer:
Brrunno [24]2 years ago
7 0

The amount of plywood that he needs to buy will be 21 square feet.

<h3>What is the surface area of the triangular prism?</h3>

Let the prism with a length of L of the rectangular surface.

And the dimension of the triangle is A, B, and C. Then we have

SA = 2(area of triangle) + 3(area of rectangle surface)

A triangular prism.

The rectangular sides are 3 feet by 2 feet, 3 feet by 2.5 feet, and 3 feet by 1.5 feet.

The 2 triangular sides have a base of 2 feet and a height of 1.5 feet.

Then the area of the triangle will be

⇒ 1/2 x 2 x 1.5

⇒ 1.5 square feet

The area of the rectangles will be

⇒ 3 x 2 + 3 x 2.5 + 3 x 1.5

⇒ 18 square feet

Then the surface area of the triangular prism will be

Surface area = 2 x 1.5 + 18

Surface arae = 3 + 18

Surface area = 21 square feet

More about the surface area of the triangular prism link is given below.

brainly.com/question/16765719

#SPJ1

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URGENT WILL MARK BRAINLIEST <br>Show your work and solve for x and y.<br>3x + y = 8<br>2x + 4y = 12​
mars1129 [50]
  • 3x+y=8--(1)

2x+4y=12

  • x+2y=6--(2)

  • (1)×1 and (2)×3

\\ \rm\Rrightarrow 3x+y=8

\\ \rm\Rrightarrow 3x+6y=18

Subtract both

\\ \rm\Rrightarrow -5y=-10

\\ \rm\Rrightarrow y=\dfrac{-10}{-5}

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\\ \rm\Rrightarrow x+2(2)=6

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\\ \rm\Rrightarrow x=6-4=2

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2 years ago
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In abc above,what is the length of ad​
Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \frac{\sqrt{3} }{2}, thus

sin60° = \frac{opposite}{hypotenuse} = \frac{BD}{BC} = \frac{BD}{12} = \frac{\sqrt{3} }{2} ( cross- multiply )

2BD = 12\sqrt{3} ( divide both sides by 2 )

BD = 6\sqrt{3}

-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \frac{1}{\sqrt{3} } , thus

tan30° = \frac{opposite}{adjacent} = \frac{AD}{BD} = \frac{AD}{6\sqrt{3} } = \frac{1}{\sqrt{3} } ( cross- multiply )

\sqrt{3} AD = 6\sqrt{3} ( divide both sides by \sqrt{3} )

AD = 6 → B

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3 years ago
Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator
Virty [35]
ANSWER
V=254.47in^3

EXPLANATION

The volume of a cylinder is given by the formula:

V=\pi \: {r}^{2} h

The given cylinder has diameter 6. This means that, the radius is

r = \frac{6}{2}

r = 3cm

The is height is

h = 3r

h = 3(3) = 9cm

We substitute the values into the formula to obtain;

V=\pi \: {3}^{2} \times 9

V=81\pi

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The volume is 254.47in^3 to the nearest hundredth
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Answer:

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Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.

Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.

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Rewrite the formula to find w

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