Measurement, Area, and Volume

The act of quantifying physical properties such as length, mass, and time is known as Measurement. Area, which is a two-dimensional notion, calculates the extent of a surface in square units. Volume, on the other hand, is a three-dimensional idea, which determines the capacity of space a given object fills, gauged in cubic units. These concepts form the basis of geometry and physical sciences.

Finding the Area of a Rectangle

Find the area of a rectangle whose length is 10 cm and width is 5 cm.

Finding the Perimeter of a Rectangle

Given a rectangle with a length of 10 units and a width of 5 units, what is the perimeter of the rectangle?

Finding the Area of a Square

Find the area of a square with side length of 7cm.

Finding the Perimeter of a Square

4. A square with area 54 square units is placed beside a square with area 75 square units. Find the outside perimeter of the given shape, in fully simplified form. (3 marks)

Finding the Area of a Circle

52. What is the area of a circular enclosure that uses 312 meters of fencing? (a) \( 7746.4 \mathrm{~m}^{2} \) (b) \( 30,985.6 \mathrm{~m}^{2} \) (c) \( 6084 \mathrm{~m}^{2} \) (d) \( 305,815.2 \mathrm{~m}^{2} \)

Finding the Circumference of a Circle

Find the circumference of a circle with a radius of 7 cm.

Finding the Area of a Triangle

Find the area of a triangle with a base of 5 units and a height of 8 units.

Finding the Area of a Trapezoid

A trapezoid has bases of lengths 6 cm and 10 cm, and a height of 4 cm. What is the area of the trapezoid?

Finding the Volume of a Box

A box has a length of 3 cm, a width of 4 cm, and a height of 5 cm. What is the volume of the box?

Finding the Volume of a Cylinder

A cylinder has a radius of 3 inches and a height of 4 inches. What is the volume of the cylinder?

Finding the Volume of a Cone

Find the volume of a cone with a radius of 4 cm and a height of 6 cm.

Finding the Volume of a Pyramid

A pyramid has a square base with a side length of 6 cm. The height of the pyramid is 8 cm. What is the volume of the pyramid?

Finding the Volume of a Sphere

Find the volume of a sphere with a radius of 3 cm.

Finding the Surface Area of a Box

15. BOxes A new refrigutator is shipped in a box 34 inches diep, 6f inches high, and $33 \frac{1}{4}$ inches wide. What is the surface anes of the bax in square feet? Round to the nearest square foot. (Hint: $1 \mathrm{ft}^{2}=14 \mathrm{in}^{2}$ )

Finding the Surface Area of a Cylinder

A cylinder has a radius of 3 cm and a height of 10 cm. What is the surface area of the cylinder?

Finding the Surface Area of a Cone

Find the surface area of a cone with a radius of 5 cm and a slant height of 10 cm.

Finding the Surface Area of a Pyramid

A pyramid has a square base of side length 4 cm. Each of the triangular faces has a height of 6 cm. What is the surface area of the pyramid?

Finding the Surface Area of a Sphere

Find the surface area of a sphere with a radius of 3 meters.