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3 years ago

Volume of this prism

Mathematics

1 answer:

Lyrx [107]3 years ago

5 0

The volume is (area of cross-section) x (length) .

-- The cross-section is a triangle. The area of a triangle is

Area = (1/2) (base) (height) .

In this one, the base is 9/4 m and the height is 3-1/3 m .

Area = (1/2) (9/4 m) (3-1/3 m)

Area = (1/2) (9/4) (10/3)

Area = 90/24 m² .

-- Volume = (area of cross-section) x (length)

Volume = (90/24 m²) x (7-1/3 m)

Volume = (90/24) x (22/3) m³

Volume = (1,980 / 72) m³

<em>Volume = 27.5 m³ </em>

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Step-by-step explanation:

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Divide both sides of the equation by -2

⤑ $\large{ \tt{ \frac{ - 2x}{ - 2} = \frac{ - 16}{ - 2}}}$

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$\boxed{ \boxed{ \underline{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{x = 8}}}}}}}$

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2 years ago

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Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals. How much netting did she use per goal?

snow_tiger [21]

0.37 meters of netting

<h3>Further explanation</h3>

<u>Given:</u>

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.

<u>Question:</u>

How much netting did she use per goal?

<u>The Process:</u>

We will solve the problem of conversion or in other words the ratio or proportion.

Option A: the conversion

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.

Then for every 1 goal, she needs 0.37 meters of netting.

Because $\boxed{ \ 1 \ goal \times \frac{1.48 \ meters}{4 \ goals} = 0.37 \ meters \ of \ netting.}$

Option B: the ratio (or proportion)

In the ratio, we process as follows:

$\boxed{ \ 4 \ goals : 1.48 \ meters \ of \ netting \ }$

Both are divided by 4.

$\boxed{ \ 1 \ goals : 0.37 \ meters \ of \ netting \ }$

Thus, she uses 0.37 meters of netting per goal.

Alternative problem

How much netting did she use for 8 goals?

$\boxed{ \ 8 \ goal \times \frac{1.48 \ meters}{4 \ goals} = \ ? \ }$ meters of netting.

We cross out eight and four because they can be divided.

$\boxed{ \ 2 \times 1.48 \ meters = 2.96 \ meters \ of \ netting. \ }$

She uses 2.96 meters of netting to make 8 identical mini hockey goals.

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Keywords: Mrs. Nguyen, 1.48 meters of netting, to make 4 identical mini hockey goals, how much netting, she uses per goal, conversion, the ratio, proportion

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3 years ago

Volume of this prism ​

Volume of this prism