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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

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