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3 years ago

A rectangular prism has dimensions of 3 cm. by 5 cm. by 5 cm. What is its surface area?

1 answer:

4 0

$\bf \textit{surface area of a rectangular prism}\\\\ SA=2Lw+2Lh+ 2wh~~ \begin{cases} L=length\\ w=width\\ h=height\\ \cline{1-1} L=3\\ w=5\\ h = 5 \end{cases} \\\\\\ SA=2(3\cdot 5)+2(3\cdot 5)+2(5\cdot 5)\implies SA=30+30+50\implies SA=110$

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What is the probability that a point chosen at random in the rectangle is also in the blue triangle?

V125BC [204]

Answer:

1/2

Step-by-step explanation:

I did the quiz on Edge 2021 and got it right with 100%.

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2 years ago

The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm radius and

zhannawk [14.2K]

Answer:

h = 5 cm

Step-by-step explanation:

Given that,

The volume of ice-cream in the cone is half the volume of the cone.

Volume of cone is given by :

$V_c=\dfrac{1}{3}\pi r^2h$

r is radius of cone, r = 3 cm

h is height of cone, h = 6 cm

So,

$V_c=\dfrac{1}{3}\pi (3)^2\times 6\\\\V_c=18\pi\ cm^3$

Let $V_i$ is the volume of icecream in the cone. So,

$V_i=\dfrac{18\pi}{2}=9\pi\ cm^3$

Let H be the depth of the icecream.

Two triangles formed by the cone and the icecream will be similiar. SO,

$\dfrac{H}{6}=\dfrac{r}{3}\\\\r=\dfrac{H}{2}$

So, volume of icecream in the cone is :

$V_c=\dfrac{1}{3}\pi (\dfrac{h}{2})^2(\dfrac{h}{3})\\\\9\pi=\dfrac{h^3}{12}\pi\\\\h^3=108\\\\h=4.76\ cm$

h = 5 cm

So, the depth of the ice-cream is 5 cm.

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3 years ago

Write five fractions that each simplify to one-ninth

egoroff_w [7]

2/18
3/27
4/36
5/45
6/54

Take any number let's say 9
Then 9/9 = 1
Or 9/9 = 1/1
Then if you multiply the bottom half of those by 9, you get
9/9 becomes 9/81
and
1/1 becomes 1/9

So to generate any fraction equivalent to 1/9
take any number and write it as one, i.e. 5/5 = 1 (or 1/1)
and then multiply the bottom part by 9 = 5/45

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3 years ago

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ki77a [65]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A store manager is redesigning a display shelf. The width of an individual deodorant is 2.576 inches. How wide must the shelf be

Inga [223]

A store manager is redesigning a display shelf. The width of an individual deodorant is 2.576 inches

Width of each deodorant = 2.576 inches

We need to store 25 individual deodorants side by side

Width of 1 deodorant = 2.576 inches

Width of 25 deodorant = 2.576 * 25 inches= 64.4 inches

The shelf must be 64.4 inches wide to store 25 individual deodorants side by side

8 0

2 years ago