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Zolol [24]
3 years ago
15

Martina estimates that the lateral surface area of a rectangular prism with a length of 13.2

Mathematics
1 answer:
Hoochie [10]3 years ago
8 0
<h3>Marthina estimation should have been really reasonable. </h3>

<em><u>Solution:</u></em>

Given that,

<em><u>Rectangular prism has:</u></em>

length = 13.2 feet

width = 6 feet

height = 8 feet

<em><u>Find the lateral surface area of prism:</u></em>

\text{Lateral surface area } = 2(length + width) \times height\\\\\text{Lateral surface area } = 2(13.2 + 6) \times 8\\\\\text{Lateral surface area } = 2(19.2) \times 8\\\\\text{Lateral surface area } = 38.4 \times 8\\\\\text{Lateral surface area } = 307.2\ ft^2

Thus the lateral surface area of prism is 307.2 square feet

Martina's estimation that lateral surface area is about 304 square feet is quite near to the calculated value which means that her estimation should have been really reasonable.

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A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length
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Volume of solid created  = 85m^{3}.

<u>Step-by-step explanation:</u>

We have , A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length  of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m . Volume of solid created = Volume of cube  - Volume of rectangular prism

Volume of cube = side^{3}

⇒ Volume1 = side^{3}

⇒ Volume1 = 5^{3}

⇒ Volume1 = 125m^{3}

Volume of rectangular prism = wlh

⇒ Volume2 = wlh

⇒ Volume2 = 5(4)(2)

⇒ Volume2 = 40m^{3}

Now,  Volume of solid created = Volume of cube  - Volume of rectangular prism

⇒ Volume of solid created  = Volume1 - Volume2

⇒ Volume of solid created  = 125m^{3} - 40m^{3}

⇒ Volume of solid created  = 85m^{3}

∴ Volume of solid created  = 85m^{3}.

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3 years ago
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4 years ago
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What Is,<br> 25% of $50,<br><br> 30% of $40,<br><br> 5% of $30,<br><br> 10% of $45,
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Answer:

25% of 50 is 12.5

Step-by-step explanation:

30% of 40 is 12. 5% of 30 is 1.5. Lastly, 10% of 45 is 4.5

5 0
3 years ago
What is the volume of the carton?
Y_Kistochka [10]
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2\frac{1}{4} × 1\frac{3}{5} × 2\frac{1}{3} = 8\frac{2}{5}
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4 years ago
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Answer:

see below

Step-by-step explanation:

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The converse flips the then and the if

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3.)

Given: 3x+1=-14 Prove: x=-5

Statements    Reasons

1. 3x+1=-14     Given

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3 years ago
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