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Maths 1 Fact

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Submitted By tyyshxxx
Words 436
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Given that the radius of a circle is 7 m, find the diameter of the circle.

##
Diameter of the circle
[pic]
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Given that the diameter of a circle is 5 mm, find the radius of the circle.

##
Radius of the circle
[pic]
============================================================

Find the circumference of a circle with diameter 3 cm.
(Take [pic].)
[pic]

##
Circumference of the circle
[pic]
============================================================

Find the circumference of a circle with diameter 14 cm.
(Take [pic].)
[pic]

##
Circumference of the circle
[pic]
============================================================

Find the circumference of a circle with radius 3 cm.
(Take [pic].)
[pic]

##
∵ [pic]
∴ [pic]
Circumference of the circle
[pic]
============================================================

Find the circumference of a circle with radius [pic]cm.
(Take [pic].)
[pic]

##
∵ [pic]
∴ [pic]
Circumference of the circle
[pic]
============================================================

If the base area and the height of a prism are 5 cm2 and 3 cm respectively, find the volume of the prism.

##
Volume of the prism
[pic]
============================================================

If the volume and the base area of a prism are 273 cm3 and 3 cm2 respectively, find the height of the prism.

##
Let h cm be the height of the prism. [pic]
∴ The height of the prism is 91 cm.
============================================================

If the volume and the height of a prism are 112 cm3 and 7 cm respectively, and the base of the prism is a square, find the length of a side of the square base.

##
Let x cm be the length of a side of the square base. [pic]
∴ The length of a side of the square base is 4 cm.
============================================================

In the figure, find the volume of the prism.
[pic]

##
Base area
[pic]
Volume of the prism
[pic]
============================================================

If the base area of a prism is 26 m2, and the total area of all lateral faces is 32 m2, find the total surface area of the prism.

##
Total surface area of the prism
[pic]
============================================================

If the total area of all lateral faces of a prism is 260 cm2, and the perimeter of the base of the prism is 13 cm, find the height of the prism.

##
Let h cm be the height of the prism. [pic]
∴ The height of the prism is 20 cm.
============================================================

If the total surface area and the base area of a prism are 373 cm2 and 77 cm2 respectively, find the total area of all lateral faces of the prism.

##
Total area of all lateral faces of the prism
[pic]
============================================================

In the figure, find the total surface area of the prism.
[pic]

##
By Pythagoras’ theorem, [pic]
Perimeter of base
[pic]
Total area of all lateral faces of the prism
[pic]
Base area of the prism
[pic]
∴ Total surface area of the prism [pic]
============================================================

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