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CSAT > 30.Mensuration > Flashcards

30.Mensuration Flashcards

1
Q

What is mensuration?

A

Mensuration is the branch of mathematics that deals with the measurement of geometric figures, including their areas, volumes, and surface areas.

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2
Q

What is the formula for the area of a rectangle?

A

Area of a rectangle = length × width

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3
Q

What is the formula for the perimeter of a rectangle?

A

Perimeter of a rectangle = 2 × (length + width)

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4
Q

What is the formula for the area of a square?

A

Area of a square = side length × side length or side^2

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5
Q

What is the formula for the perimeter of a square?

A

Perimeter of a square = 4 × side length or 4 × side

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6
Q

What is the formula for the area of a triangle?

A

Area of a triangle = (base × height) / 2

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7
Q

What is the formula for the perimeter of a triangle?

A

Perimeter of a triangle = sum of the lengths of all three sides

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8
Q

What is the formula for the area of a circle?

A

Area of a circle = π × radius^2 or πr^2

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9
Q

What is the formula for the circumference of a circle?

A

Circumference of a circle = 2 × π × radius or 2πr

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10
Q

What is the formula for the volume of a rectangular prism?

A

Volume of a rectangular prism = length × width × height

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11
Q

What is the formula for the surface area of a rectangular prism?

A

Surface area of a rectangular prism = 2 × (length × width + width × height + height × length)

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12
Q

What is the formula for the volume of a cylinder?

A

Volume of a cylinder = π × radius^2 × height or πr^2h

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13
Q

What is the formula for the surface area of a cylinder?

A

Surface area of a cylinder = 2πr^2 + 2πrh or 2 × π × radius × (radius + height)

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14
Q

What is the formula for the volume of a cone?

A

Volume of a cone = (1/3) × π × radius^2 × height or (1/3)πr^2h

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15
Q

What is the formula for the surface area of a cone?

A

Surface area of a cone = π × radius × (radius + slant height) or πr(r + l)

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16
Q

What is the formula for the volume of a sphere?

A

Volume of a sphere = (4/3) × π × radius^3 or (4/3)πr^3

17
Q

What is the formula for the surface area of a sphere?

A

Surface area of a sphere = 4 × π × radius^2 or 4πr^2

18
Q

What is the formula for the volume of a pyramid?

A

Volume of a pyramid = (1/3) × base area × height

19
Q

What is the formula for the surface area of a pyramid?

A

Surface area of a pyramid = base area + (1/2) × perimeter of base × slant height

20
Q

What is the formula for the volume of a prism?

A

Volume of a prism = base area × height

CSAT (26 decks)

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