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3 years ago

What is the volume of the pyramid in the diagram?

Mathematics

2 answers:

Lemur [1.5K]3 years ago

6 0

Answer

= 25 cm³

Explanation
The volume of regular solid is found by;
Volume = base area × perpendicular height.

For a pyramid;
volume = 1/3 (base area × perpendicular height)

In the figure shown, perpendicular height is 3 cm.
Base area = length × height
= 5 × 5
= 25 cm²

Volume = 1/3(25 × 3)
= 1/3 × 75
= 25 cm³

dolphi86 [110]3 years ago

4 0

The <u>correct answer</u> is:

25 cm³.

Explanation:

To find the volume of a pyramid, use the formula:

V = 1/3Bh, where B is the area of the base and h is the height of the pyramid.

The base of this pyramid is a square with side length 5; its area is

A = 5(5) = 25 cm².

The height of the pyramid is 3. This gives us:

V = 1/3(25)(3) = 1/3(75) = 25 cm³.

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Factor: 81y^2-49<br> Your answer

oksian1 [2.3K]

Answer:(9y-7)(9y+7)

Step-by-step explanation:

81y^2-49

=(9y)^2-(7)^2

=(9y-7)(9y+7)

4 0

3 years ago

Pls help im not smart enough ;-;

evablogger [386]

PART1:

First Combination:
Pizza ($7) + Chicken Strips ($6) + Biscuits ($3) + Grapes ($4) = $20

Second Combination:
Dog Food ($13) + Bread ($3) + Crackers ($2) + Broccoli ($2) = $20

Third Combination:
Shampoo ($4) + Tissues ($3) + Pizza ($7) + Eggs ($3) + Biscuits ($3) = $20

PART 2:

First Combination:
$7.20 + $5.70 + $2.90 + $3.70 = $19.60
No, I wouldn’t have gone over the limit

Second Combination:
$13.40 + $3.50 + $2.00 + $1.90 = $20.80
Yes, I would have gone over the limit

Third Combination:
$3.50 + $2.60 + $7.20 + $2.50 + $2.90 = $18.70
No, I wouldn’t have gone over the limit

Hope this helps!!

7 0

3 years ago

Write an equation for the statement: A kilogram is equal to approximately 2.2 pounds. A cinder block weighs x pounds. A brick ha

navik [9.2K]

the total mass in kilograms y of the cinder block and brick is $y=0.45x + 0.6$ .

<u>Step-by-step explanation:</u>

Here we have , A kilogram is equal to approximately 2.2 pounds. A cinder block weighs x pounds. A brick has a mass of 0.6 kilogram. We need to find What is the total mass in kilograms y of the cinder block and brick . Let's find out :

According to given data in question ,

⇒ $1kg = 2.2pounds$

⇒ $1(pounds) = \frac{1}{2.2}kg$

A cinder block weighs x pounds and a brick has a mass of 0.6 kilogram . Let total mass in kg of the cinder block and brick is y , i.e.

⇒ $y (kg)= x (pounds) + 0.6 kg$

⇒ $y (kg)= x (\frac{1}{2.2}kg) + 0.6 kg$

⇒ $y=0.45x + 0.6$

Therefore , the total mass in kilograms y of the cinder block and brick is $y=0.45x + 0.6$ .

7 0

3 years ago

100%

creativ13 [48]

Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

Aspherical balloon has a radius of 6 feet, hence the volume is:

$V = \frac{4\pi 6^3}{3} = 905$

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:

$V(t) = 0.8(905) - 30t$

$V(t) = 724 - 30t$

It will be completely empty when:

$V(t) = 0$

$724 - 30t = 0$

$30t = 724$

$t = \frac{724}{30}$

$t = 24.1$

Rounding, it will take 24 hours for the balloon to become completely empty.

More can be learned about the volume of a sphere at brainly.com/question/25608353

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2 years ago

A student wants to report on the number of meals his friends buy each week. The collected data are below: 4 19 3 3 2 3 2 4 Which

Strike441 [17]

The median or the mode which is three, but not the average because there is an outlier in the set, which is 19 and would skew the data higher than it should be.

3 0

3 years ago

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