Middle School

We appreciate your visit to the object on the right is made from a square based pyramid joined to a cuboid the base of the cuboid and the base of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

the object on the right is made from a square-based pyramid joined to a cuboid.

the base of the cuboid and the base of the pyramid are both squares of side 6cm.

the bright of the cuboid is 9cm and the total height of the object is 17cm.

the total mass of the object is 970g.

the cuboid is made from wood with density 0.68g/cm^3

the pyramid is made from steel.

calculate the density of the steel in g/cm^3.

you must show your working.

the object on the right is made from a square based pyramid joined to a cuboid the base of the cuboid and the base of

Answer :

The density of the steel is 15.245 g/cm^3.

Calculate the volume of the cuboid:

cuboid_volume = 6**3 * 9 = 216 cm^3

Calculate the mass of the cuboid:

cuboid_mass = cuboid_volume * 0.68 = 146.88 g

Calculate the mass of the pyramid:

pyramid_mass = 970 - cuboid_mass = 823.12 g

Calculate the volume of the pyramid:

pyramid_volume = (1/3) * 6**2 * (17 - 9) = 54 cm^3

Calculate the density of the steel:

steel_density = pyramid_mass / pyramid_volume = 823.12 / 54 = 15.245 g/cm^3

Therefore, the density of the steel is 15.245 g/cm^3.

For such more question on density

https://brainly.com/question/1354972

#SPJ6

Thanks for taking the time to read the object on the right is made from a square based pyramid joined to a cuboid the base of the cuboid and the base of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Final answer:

This Physics problem involves calculating the density of the steel pyramid. Initially, by using formulas, the volume of the pyramid is calculated. Then find the balance mass of the pyramid, and finally use the volume and mass of the pyramid to determine the density of the steel.

Explanation:

To calculate the density of the steel, first, you'll need to find out the volume of the pyramid. Since the pyramid is a square-based pyramid, the formula to calculate its volume is 1/3 * base area * height. The base of the pyramid is a square with side 6cm, so the area is 6*6 cm^2. The total height is 17cm and the height of the cuboid is 9cm, so the height of the pyramid is 17 - 9 = 8cm.

Therefore, the volume of the pyramid is 1/3 * (6*6)*8 = 96 cm^3.

Secondly, subtract the mass of the wooden cuboid from the total mass to find out the mass of the steel pyramid. To find the mass of the cuboid, you need to calculate its volume and multiply it by its density. The cuboid has a square base of area 6*6 cm^2 and a height of 9cm, so its volume is 6*6*9 = 324 cm^3. Given that its density is 0.68g/cm^3, its mass is 0.68*324 = 220.32g.

So, the mass of the steel pyramid is 970g - 220.32g = 749.68g.

Finally, calculating the density of the steel pyramid by dividing its mass by its volume. Therefore, the density is 749.68g/96cm^3 = 7.81 g/cm^3.

Learn more about Density Calculation here:

https://brainly.com/question/30804235

#SPJ12