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3 years ago

A rectangular prism has dimensions 5 in. By 4 in. By 12 in. What is the surface area of the prism?

Mathematics

2 answers:

Gennadij [26K]3 years ago

8 0

Answer:

$240in^{3}$

Step-by-step explanation:

4 * 12 = 48

48 * 5 = 240

**if model need let me know*

Snezhnost [94]3 years ago

3 0

Answer:

240 in

Step-by-step explanation:

4x5x12=240

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What is the equation of a circle with a radius of 7 and centered at point (3, -4)? please help fast!

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3 years ago

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3 years ago

A square has a side that measures 55 units. What is the area of a circle with a circumference that equals the perimeter of the s

Taya2010 [7]

<h3><u>Given</u>:-</h3>

$\rightarrow$ Side of square = 5.5 units.

$\rightarrow$ Circumference of circle = perimeter of square.

$\rightarrow$ Area of circle.

<h3><u>Solution</u>:-</h3>

$\rightarrow$ To find the area of circle firstly we have to find the perimeter of the square, then we will find the radius of circle and after that area of circle. So, let's begin:

$\rightarrow$ Perimeter of square = $\sf{4×side}$ (putting the value of side from the above given)

$\rightarrow$ $\sf{=\: 4 × 5.5}$

$\rightarrow$ $\sf{=\: 22units.}$

Therefore, perimeter of square = 22units.

Now, according to the question, perimeter of square = circumference of the circle. So, circumference of circle = 22units.

Now, using the formula of circumference of circle we can find the radius.

$\rightarrow$ Circumference of circle = $\sf{2πr}$ (putting the value of perimeter)

$\rightarrow$ $\sf{22\:=\: 2×3.14×r}$

$\rightarrow$ $\sf{22\:=\: 6.28×r}$

$\rightarrow$ $\sf{\frac{22}{6.28}\:=\: r}$

$\rightarrow$ $\sf{3.50units\:=\: r}$

Therefore, radius of circle = 3.50units.

Now, let's find area of the circle:

$\rightarrow$ Area of circle = $\sf{πr^2}$

$\rightarrow$ $\sf{πr^2}$ (putting the value of pie(π) and radius(r))

$\rightarrow$ $\sf{3.14×3.50^2}$

$\rightarrow$ $\sf{3.14×12.25}$

$\rightarrow$ $\sf{38.46unit^2}$

Therefore, area of circle = $\sf{38.46unit^2}$

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2 years ago

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