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3 years ago

The dictionary is 3 inches thick. What is the volume of the dictionary

Mathematics

1 answer:

Yuki888 [10]3 years ago

5 0

Answer:

Square shaped = 27 cubic inches , Rectangular shaped = 3LW cubic Inches

Step-by-step explanation:

If the dictionary is a square ( all sides are equal ) the the volume is

V = Length * Length * Length = $L^{3}$

V = 3 * 3 * 3 = 27 $inch^{3}$

while if its rectangular ( all side are not equal ) shaped

V = Length * Width * Height (thickness)

V = L * W * 3 = 3LW $inch^{3}$

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PLS I WILL GIVE BRAINLIEST

Nana76 [90]

Answer:

208 $cm^2$

Step-by-step explanation:

We can find the area of the net by adding up the area of each of the 6 rectangles that make up the net. Since two of each rectangle are the same, we only have to find the area of the 3 different sized rectangles and multiply each by 2.

Rectangle pairs are:

Left rectangle and right rectangle
Top rectangle and the rectangle above the bottom rectangle
Bottom rectangle and the rectangle surrounded by all for sides

Now, let's solve the question.

Left rectangle:

6 x 4 = 24, rectangle has area of 24 squared cm

Top rectangle:

6 x 8 = 48, rectangle has area of 48 squared cm

Bottom rectangle:

4 x 8 = 32, rectangle has area of 32 squared cm

Add up the areas:

(24 x 2) + (48 x 2) + (32 x 2) = 208

The rectangle has a surface area of 208 squared cm

4 0

2 years ago

Round your answer to one decimal digit. The volume of a cylinder is 1800cm squared. if the height of the cylinder is 40cm then t

jonny [76]

$_____________________________________$

$\sf\huge\underline\red{SOLUTION:}$

Use formula:

$\sf{V = \pi(\frac{d}{2})^2h}$

Solving for diameter:

$\sf d = 2 \times \sqrt{ \frac{V}{\pi h} } \\ \sf = 2 \times \sqrt{ \frac{40}{\pi \times 1800} } \approx0.16821 \\ = \sf \large\boxed{\sf{\green{d = 0.17}}}$

$\sf\huge\underline\red{FINAL \: ANSWER}$

$\large\boxed{\sf{\green{d=0.17}}}$

$_____________________________________$

✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ

✍︎ᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢ

8 0

3 years ago

A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.