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

A rectangular carpet is $4 \mathrm{~m}$ long and $6 \mathrm{~m}$ wide. Choose the option on the centimetre square grid below which shows a scale diagram of the carpet using the scale $1 \mathrm{~cm}$ represents $2 \mathrm{~m}$.

Finding the Perimeter of a Rectangle

Find the perimeter of the rectangle. Express the perimeter using the same unit of measure that appears on the given sides. The perimeter is

Finding the Area of a Square

Determinar el área de un cuadrado, cuyo perímetro es de \( 80 \mathrm{~cm} \). a. \( 40 \mathrm{~cm}^{2} \) b. \( 10 \mathrm{~cm}^{2} \) c. \( 8 \mathrm{~cm}^{2} \) d. \( 400 \mathrm{~cm}^{2} \) e. \( 20 \mathrm{~cm}^{2} \)

Finding the Perimeter of a Square

If the side length of a square is 7 cm, what is the perimeter of the square?

Finding the Area of a Circle

9. What is the area of a circle with radius 2 ?

Finding the Circumference of a Circle

The diameter of a circle measures $12 \mathrm{yd}$. What is the circumference of the circle? Use 3.14 for $\pi$, and do not round your answer. Be sure to include the correct unit in your answer.

Finding the Area of a Triangle

(3) 6. The area of a triangle is $12.6 \mathrm{in}^{2}$. Find the height of the triangle if the base is 3.5 in.

Finding the Area of a Trapezoid

Find the area of a trapezoid where the lengths of the bases are 6 cm and 10 cm respectively, and the height is 4 cm.

Finding the Volume of a Box

The length of a box of colored pencils is 6 inches, the width is 4 inches, and the neight is $\frac{3}{8}$ inch. What is the volume of the box?

Finding the Volume of a Cylinder

2. (08.01 MC) Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (1 point)

Finding the Volume of a Cone

If a cone has a radius of 4 cm and a height of 7 cm, what is its volume?

Finding the Volume of a Pyramid

A right square pyramid has base perimeter $62.4 \mathrm{~m}$ and height $6.4 \mathrm{~m}$. Calculate the volume of the pyramid to the nearest cubic metre.( 2 marks)

Finding the Surface Area of a Box

Find the surface area of the rectangular prism.

Finding the Surface Area of a Cylinder

Find the surface area of a cylinder with a base radius of $3 \mathrm{yd}$ and a height of $7 \mathrm{yd}$. Write your answer in terms of $\pi$, and be sure to include the correct unit.

Finding the Surface Area of a Cone

Find the surface area of a cone with a radius of 3 cm and a slant height of 5 cm.

Finding the Surface Area of a Pyramid

A pyramid has a square base of side length 10cm and a height of 15cm. What is the surface area of the pyramid?