# Bricks pyramid

How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?

Correct result:

n =  107122667

#### Solution:

$278 \ m=2780 \ dm=2^2 \times 5 \times 139 \ dm \ \\ 272 \ m=2720 \ dm=2^5 \times 5 \times 17 \ dm \ \\ \ \\ a=272 \ \text{m} \ \\ h=278 \ \text{m} \ \\ \ \\ x=50 \ cm \rightarrow m=50 / 100 \ m=0.5 \ m \ \\ y=32 \ cm \rightarrow m=32 / 100 \ m=0.32 \ m \ \\ z=40 \ cm \rightarrow m=40 / 100 \ m=0.4 \ m \ \\ \ \\ V_{0}=x \cdot \ y \cdot \ z=0.5 \cdot \ 0.32 \cdot \ 0.4=\dfrac{ 8 }{ 125 }=0.064 \ \text{m}^3 \ \\ V=\dfrac{ 1 }{ 3 } \cdot \ a^2 \cdot \ h=\dfrac{ 1 }{ 3 } \cdot \ 272^2 \cdot \ 278 \doteq 6855850.6667 \ \text{m}^3 \ \\ \ \\ n=V/V_{0}=6855850.6667/0.064=107122667=1.071227\cdot 10^{ 8 }$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Tips to related online calculators
Do you want to calculate greatest common divisor two or more numbers?
Tip: Our volume units converter will help you with the conversion of volume units.
Do you want to round the number?
Do you want to perform natural numbers division - find the quotient and remainder?

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

• Sports games
Pupils of same school participated district sports games. When dividing into teams found that in the case of the creation teams with 4 pupils remaining 1 pupil, in the case of a five-member teams remaining 2 pupils and in the case of six-members teams rem
• 9.A
9.A to attend more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, the ninth to mark 3. No one gets mark 4. How many students of class 9.A wrote a test to mark 5?
• Banknotes
How many different ways can the cashier payout € 310 if he uses only 50 and 20 euro banknotes? Find all solutions.
• Shepherd
The shepherd has fewer than 500 sheep; where they can be up to 2, 3, 4, 5, 6 row is always 1 remain, and as can be increased up to 7 rows of the sheep, and it is not increased no ovine. How many sheep has a shepherd?
• Four-digit numbers
Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The di
• Divisors
Find all divisors of number 493. How many are them?
• Toy cars
Pavel has a collection of toy cars. He wanted to regroup them. But in the division of three, four, six, and eight, he was always one left. Only when he formed groups of seven, he divided everyone. How many toy cars have in the collection?
• Sheep
Shepherd tending the sheep. Tourists asked him how much they have. The shepherd said, "there are fewer than 500. If I them lined up in 4-row 3 remain. If in 5-row 4 remain. If in 6-row 5 remain. But I can form 7-row." How many sheep have herdsman?
• Living room
How many people can live in a room with dimensions: a = 4m b = 5m c = 2.5m if one person needs 15m cubic space (i. E. Air . .. )?
• Cremons
The freight wagon is shaped like cuboid 21m and 3.5m and 4.2m How many cremons can be loaded if one is a cube with an edge length of 7 cm?
• 7 digit number
If 3c54d10 is divisible by 330, what is the sum of c and d?
• Reminder and quotient
There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S, D:S are with the remainder of 1,
• Divisors
The sum of all divisors unknown odd number is 2112. Determine sum of all divisors of number which is twice of unknown numbers.
• Divisibility
Write all the integers x divisible by seven and eight at the same time for which the following applies: 100
• Water level
The glass container has a cuboid shape with dimensions of the bottom 24 cm and 12 cm. The height of water is 26 cm. Calculate the volume of the body, which are sunk into the water if the water level rise by 3 cm.
• Digging
A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions 40m X 30m. What is the increase in the level of the plot ?
• Three glasses
Three glasses of different colors have different volumes. Red 1.5 liter is filled from 2/5, blue 3/4 liter is filled from 1/3, and the third green 1.2 liter is empty. Pour green glass 1/4 of the contents from the red glass and 2/5 of the content from the