Geometric Shapes Worksheets 7th Grade

In 7th grade, students are introduced to geometric shapes and their properties. To help reinforce their understanding and enhance their problem-solving skills, worksheets can serve as valuable learning tools. These worksheets provide an engaging platform for students to explore different shapes, discover their attributes, and apply their knowledge to solving problems and real-life scenarios.

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  Surface Area and Volume Formulas

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What is a geometric shape?

A geometric shape is a two-dimensional figure that is defined by its boundaries and properties such as sides, angles, and area. Some common geometric shapes include circles, squares, triangles, and rectangles. These shapes can be classified based on the number of sides they have and the relationship between their angles and sides.

Name three common two-dimensional shapes.

Triangle, square, and circle are three common two-dimensional shapes.

How many sides does a hexagon have?

A hexagon has six sides.

What is the formula to find the perimeter of a rectangle?

The formula to find the perimeter of a rectangle is 2 times the sum of the length and the width of the rectangle, which can be expressed as P = 2(l + w), where P is the perimeter, l is the length, and w is the width of the rectangle.

What is the area of a triangle with a base of 8 cm and a height of 5 cm?

The area of a triangle is calculated by the formula: 1/2 x base x height. So, for a triangle with a base of 8 cm and a height of 5 cm, the area would be 1/2 x 8 cm x 5 cm = 20 square cm. Thus, the area of the triangle is 20 square cm.

What is the difference between a regular and irregular polygon?

A regular polygon has equal sides and equal angles, while an irregular polygon has sides and angles of different lengths and measures. Furthermore, a regular polygon has all interior angles that are equal, whereas an irregular polygon has varying interior angles.

How do you find the circumference of a circle?

To find the circumference of a circle, you can use the formula: Circumference = 2?r, where r is the radius of the circle and ? is approximately 3.14159. Simply multiply the radius by 2 and then by ? to get the circumference of the circle.

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?

The volume of a rectangular prism can be calculated by multiplying the length, width, and height together. In this case, the volume would be 5 cm x 3 cm x 4 cm = 60 cubic centimeters.

How do you calculate the surface area of a sphere?

To calculate the surface area of a sphere, you can use the formula A = 4?r^2, where A represents the surface area, ? is a constant approximately equal to 3.14159, and r is the radius of the sphere. Simply square the radius, multiply it by 4, and then multiply the result by ? to find the surface area of the sphere.

Can any triangle have two right angles?

No, a triangle cannot have two right angles. By definition, a triangle has three angles that add up to 180 degrees, and if two of those angles are right angles (each measuring 90 degrees), the third angle would have to be 0 degrees, resulting in a degenerate triangle that is essentially a straight line. This violates the fundamental principles of a triangle, which requires angles to be greater than 0 degrees and less than 180 degrees.