Answered

Connect with a global community of experts on IDNLearn.com. Find accurate and detailed answers to your questions from our experienced and dedicated community members.

2. Samuel used clay to make a diorama of the pyramids in Ancient Egypt. He made two triangular pyramids and three rectangular pyramids. How much clay did he use to create all the pyramids?

Sagot :

Answer:

[tex]124.16[/tex] cubic meter of clay will be used to create all the pyramids

Step-by-step explanation:

The remaining part of the question is given in the attached file

Solution

The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.

For Rectangular Pyramid,

Volume of three rectangular pyramids

[tex]3 * \frac{BH}{3} = BH[/tex]

Substituting the given values in above equation, we get -

[tex]15.5 * 5 = 77.5[/tex] cubic centimeter

For triangular Pyramid,

Volume of two  triangular pyramids

[tex]2 * \frac{BH}{3}\\2 * \frac{10 * 7}{3}[/tex]

[tex]46.67[/tex]  cubic centimeter

Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid [tex]= 77.7 + 46.67 = 124.16[/tex] Cubic centimeter

View image Podgorica
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.