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3 years ago

What is the volume of the triangular prism? Round to the nearest tenth.

Mathematics

1 answer:

Alex17521 [72]3 years ago

4 0

Answer:

1,185.6 in.

Step-by-step explanation:

volume of the triangular prism = base area x height

the base in the shape of a triangle

area of a triangle = 1/2 x base x height

1/2 x 12 x 10.4 = 62.4 in²

volume = 62.4 x 19 = 1185.6 in

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

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tensa zangetsu [6.8K]

the answer is B because it's B

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2 years ago

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. The b

givi [52]

The mass of brick is 2478 gram

Solution:

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

The volume of rectangular prism is given as:

$volume = length \times width \times height$

$volume = 8 \times 3.5 \times 2\\\\volume = 56$

Thus volume of brick is 56 cubic inches

Convert inches to centimeter

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume = 917.676 cubic centimeter

The brick has a density of 2.7 grams per cubic centimeter

Density = 2.7 grams

The mass of brick is given by formula:

$mass = density \times volume$

Substituting the values we get,

$mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478$

Thus mass of brick is 2478 gram

7 0

3 years ago

You find out that you get a 20% off on your favorite sweater, and you also get an additional 30% off. Does the store apply the d

Marta_Voda [28]

Answer:

Apply them sequentially.

Step-by-step explanation:

The store would apply the discounts sequentially because it gives less of a discount compared to if they did it all at once.

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3 years ago

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Chnstopher earned $142.20. He saved $24.50. He spent the rest on 2 new pairs

pogonyaev

Answer:

$58.25

Step-by-step explanation:

142.20 - 24.50 = 117.50

117.50 / 2 = 58.25

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3 years ago

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HELP URGENT BRAINLIEST

nadya68 [22]

Given:

LMN is an equilateral triangle.

LM = LN = MN = 12 cm

To find:

The height of the triangle h.

Solution:

In a right angle triangle,

$\sin \theta=\dfrac{Opposite}{Hypotenuse}$

$\sin (60^\circ)=\dfrac{h}{12}$

$\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}$

Multiply both sides by 12.

$\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12$

$6\sqrt{3}=h$

Therefore, the height of the triangle is $6\sqrt{3}$ cm.

3 0

3 years ago