Podcast
Questions and Answers
What is the sum of 5 and 7?
What is the sum of 5 and 7?
- 11
- 12 (correct)
- 10
- 13
What is the product of 3 and 4?
What is the product of 3 and 4?
- 12 (correct)
- 10
- 11
- 7
What is the result of $8 - 6$ ?
What is the result of $8 - 6$ ?
- 2 (correct)
- 1
- 3
- 4
What is the value of $9 imes (4 - 2)$ ?
What is the value of $9 imes (4 - 2)$ ?
In a triangle, what is the measure of the third angle if the other two angles measure $60^{ ext{o}}$ and $75^{ ext{o}}$?
In a triangle, what is the measure of the third angle if the other two angles measure $60^{ ext{o}}$ and $75^{ ext{o}}$?
If the radius of a circle is doubled, by how much does the area of the circle increase?
If the radius of a circle is doubled, by how much does the area of the circle increase?
If a cube has a volume of 64 cubic units, what is the length of each side?
If a cube has a volume of 64 cubic units, what is the length of each side?
What is the surface area of a sphere with a radius of 5 units?
What is the surface area of a sphere with a radius of 5 units?
If the perimeter of a rectangle is 60 units and the length is 3 times the width, what is the area of the rectangle?
If the perimeter of a rectangle is 60 units and the length is 3 times the width, what is the area of the rectangle?
A right circular cone has a radius of 6 units and a height of 8 units. What is the total surface area of the cone?
A right circular cone has a radius of 6 units and a height of 8 units. What is the total surface area of the cone?
If a cylinder has a volume of 200 cubic units and a height of 10 units, what is the radius of the cylinder?
If a cylinder has a volume of 200 cubic units and a height of 10 units, what is the radius of the cylinder?
A pyramid has a height of 12 units and a base area of 48 square units. What is the volume of the pyramid?
A pyramid has a height of 12 units and a base area of 48 square units. What is the volume of the pyramid?
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Study Notes
Basic Operations
- The sum of 5 and 7 is 12.
- The product of 3 and 4 is 12.
- The result of 8 - 6 is 2.
- The value of 9 × (4 - 2) is 18.
Geometry
- In a triangle, the measure of the third angle is 45° when the other two angles measure 60° and 75°.
- If the radius of a circle is doubled, the area of the circle increases by a factor of 4.
- If a cube has a volume of 64 cubic units, the length of each side is 4 units.
- The surface area of a sphere with a radius of 5 units is 4π × 25 = 100π square units.
- If the perimeter of a rectangle is 60 units and the length is 3 times the width, the area of the rectangle is 450 square units.
- The total surface area of a right circular cone with a radius of 6 units and a height of 8 units is π × (36 + 48) = 84π square units.
- If a cylinder has a volume of 200 cubic units and a height of 10 units, the radius of the cylinder is 2√5 units.
- The volume of a pyramid with a height of 12 units and a base area of 48 square units is 192 cubic units.
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