Area Of Base In Geometry

In geometry, a base is a side of a plane figure or face of solid

, particularly one perpendicular to the direction height is measured or on what is considered to the bottom. This usage can be applied to a triangle, parallelogram, trapezoids, cylinder and pyramid. Let us see how to find the area of base of some geometry shapes.

(Source Wikipedia)

Area of Base in Geometry Example Problems:

1. Find the base area of the cube whose side length is 25 cm.

Solution:

Given:

Side length (a) = 25

The base of the cube is square in shape.

Area of the square (A) = a2 square units.

= 25 x 25

= 625 cm2

Base area of the cube is 625 cm2.

2. Find the base area of the right triangular prism whose base 8 cm and length is 12 cm.

Solution:

Given:

Base (b) = 8 cm

Length (l) = 12 cm

The base of the triangular prism is triangle in shape.

Area of the right triangle (A) = b x l square units

= x 8 x 12

= 96 / 2

= 48 cm2

Base area of the triangular prism is 48 cm2

3. Find the base area of the trapezoidal prism whose length is 13 cm and length of parallel sides a = 6 cm and b = 9 cm

Solution:

Given:

Length (l) = 13 cm

a = 6 cm

b = 9 cm

The base of the trapezoidal prism is trapezoid in shape.

Area of trapezoid (A) = 1/2 x l x (a + b) square units

=1/2 x 13 x (6 + 9)

=1/2 x 13 x 15

=1/2 x 195

= 195 /2

= 97.5 cm2

Base area of the trapezoidal prism is 97.5 cm2

Area of Base in Geometry-practice Problems:

1. Find the base area of the cube whose side length is 14.8 cm.

Answer: area of the base of cube = 219.04 cm2

2. Find the base area of the right triangular prism whose base 7 cm and length is 10 cm.

Answer: base area of the triangular prism = 35 cm2

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In geometry, a base is a side of a plane figure or face of solid, particularly one perpendicular to the direction height is measured or on what is considered to the bottom. This usage can be applied to a triangle, parallelogram, trapezoids, cylinder, cone, pyramid, parallelopiped or frustum. By extension, the length or area of a base is also called a base. As such, bases are commonly used in formulas for area and volume.

by: johnharmer

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