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Eduardwww [97]
3 years ago
7

A gemstone is cut in the shape of a triangular pyramid. The area of the base of the pyramid is 42 square millimeters. The height

of the pyramid is 4 millimeters. What is the volume of the gemstone? (Recall the formula V = one-third B h.)
Mathematics
1 answer:
never [62]3 years ago
7 0

Answer:

the volume of the gemstone is 56 millimeters^3

Step-by-step explanation:

The computation of the volume of the gemstone is shown below:

As we know that

The volume of the triangular pyramid is

= (1 ÷ 3) × (base area) × h

Now put the given values to the above formula

= 1 ÷ 3 × 42 × 4

=  56 millimeters^3

Hence, the volume of the gemstone is 56 millimeters^3

The above formula should be used and the same should be considered

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables.</em>

<em>r</em> = 5 cm

<em>h</em> = 10 cm

<u>Step 2: Find Volume</u>

  1. Substitute in variables [Volume of a Cylinder Formula]:                               V = (3.14)(5 cm)²(10 cm)
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