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Shapes and Geometry Practice Sheet
Introduction
Welcome to the Shapes and Geometry practice sheet! In this worksheet, you will learn all about shapes and geometry. We will look at different shapes and their properties, as well as how to calculate the area, perimeter, and volume of different shapes. Let's get started!
Basic Shapes
Let's start by looking at some basic shapes.
Triangles
A triangle is a shape with three sides and three angles. The three angles of a triangle add up to 180 degrees.
Practice Problem 1
What is the sum of the angles of a triangle?
Quadrilaterals
A quadrilateral is a shape with four sides and four angles. The four angles of a quadrilateral add up to 360 degrees.
Practice Problem 2
What is the sum of the angles of a quadrilateral?
Circles
A circle is a shape with no sides or angles. The circumference of a circle is the distance around it.
Practice Problem 3
What is the circumference of a circle with a radius of 5 cm?
Calculating Area, Perimeter, and Volume
Now that we have looked at some basic shapes, let's look at how to calculate their area, perimeter, and volume.
Area
The area of a shape is the measure of the space inside the shape. To calculate the area of a shape, use the following formula:
Area = Length x Width
Practice Problem 4
What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
Perimeter
The perimeter of a shape is the measure of the distance around the shape. To calculate the perimeter of a shape, use the following formula:
Perimeter = 2 x (Length + Width)
Practice Problem 5
What is the perimeter of a rectangle with a length of 10 cm and a width of 5 cm?
Volume
The volume of a shape is the measure of the space inside the shape. To calculate the volume of a shape, use the following formula:
Volume = Length x Width x Height
Practice Problem 6
What is the volume of a cube with a length of 10 cm, a width of 5 cm, and a height of 3 cm?
