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3 years ago

Find the total surface area of the pyramid

Mathematics

1 answer:

quester [9]3 years ago

3 0

To find the surface area of a pyramid, we need to find the area of all the faces and add them up.

4 * 6 = 24
24 / 2 = 12

There are four sides (not including the base) in this pyramid, so we should multiply this by 4.

12 * 4 = 48

Now, we find the area of the base.

6 * 6 = 36

We add up all of the numbers:

48 + 36 = 84

84 in^2 is the answer.

Hope this helps!

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3 years ago

-6x^2+96 factor completely

sleet_krkn [62]

Answer:

-6x^98

Step-by-step explanation:

-6x^2+96

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3 years ago

What is the area of the shaded rectangle?

navik [9.2K]

Answer:

Step-by-step explanation:

The yellow face has a height of 2 inches and a length of 7 inches.

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3 years ago

The medicine capsule shown consist of a cylinder with a hemisphere at each end. The total length of the capsule is 15 millimeter

sweet [91]

Answer:

The surface area of capsule is 235.5 mm².

Step-by-step explanation:

Given that,

Diameter = 5 mm

Total length = 15 mm

We need to calculate the radius of each hemisphere

Using formula of radius of hemisphere

$\text{radius of each hemisphere}=\text{radius of cylinder}$

$r=\dfrac{5}{2}$

$r=2.5\ mm$

We need to calculate the length of cylinder

Using formula of length

Length of cylinder = Total length of capsule-radius of left hemisphere- radius of right hemisphere

$\text{length of cylinder}=15-2.5-2.5$

$\text{length of cylinder}=10\ mm$

We need to calculate the surface area of capsule

Using formula of surface area of capsule

$\text{surface area of capsule}=\text{Curved surface area of cylinder}+\text{surface area of left hemisphere}+\text{surface area of right hemisphere}$

$\text{surface area of capsule}=2\pi rl+2\pi r^2+2\pi r^2$

$\text{surface area of capsule}=2\pi rl+4\pi r^2$

Put the value into the formula

$\text{surface area of capsule}=2\times3.14\times2.5\times10+4\times3.14\times(2.5)^2$

$\text{surface area of capsule}=235.5\ mm^2$

Hence, The surface area of capsule is 235.5 mm².

4 0

3 years ago